tomas works for a cellphone company. he has a base salary of $350 each month and earns an additional $40 for each cellphone he sells. write a function (linear equation) in slope-intercept form (y = mx + b) that represents tomas' total earnings (y) for one month for selling (x) number of cellphones.

Use the linear equation from question 1 to determine Tomas' earnings for a month where he sold 30 cellphones. *

Answers

Answer 1

Answer:

The function is [tex]y = 40x + 350[/tex]

When he sold 30 cellphones, he earned $1550.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope(how much y changes when x changes by 1), and b is the y-intercept, that is, the value of w when x = 0.

Base salary of $350 each month and earns an additional $40 for each cellphone he sells.

If he sells 0 cellphones, he earns $350, so [tex]b = 350[/tex].

For each cellphone he sells, he earns $40, so [tex]m = 40[/tex]

The function is:

[tex]y = mx + b = 40x + 350[/tex]

Tomas' earnings for a month where he sold 30 cellphones.

This is y when [tex]x = 30[/tex]. So

[tex]y = 40*30 + 350 = 1550[/tex]

When he sold 30 cellphones, he earned $1550.


Related Questions

Which term makes the equation y=sup(x,3)+2x+1 nonlinear?

Answers

Answer:

sup(x,3)

Step-by-step explanation:

Linear equation:

A linear equation has the following format:

[tex]y = ax + b[/tex]

In a linear equation, when x changes by 1, y will always change by the amount a, which is called slope.

In this question:

y=sup(x,3)+2x+1

[tex]y = 2x + 1[/tex] would be a linear equation.

However, the expression sup(x,3), that is, the higher value between x and 3, means that the function is not linear.

One morning, the temperature outside was -3°F. By 5:00PM the temperature had decreased 15°F. What was the temperature at 5:00 PM?
a. -18°F b. -12°F C. 12°F d. 18°F​

Answers

Answer:

A.

Step-by-step explanation:

If the temperature was -3°F at first, but had decreased 15°F degrees by 5:00pm, it would be -18°F.

-3 - 15 = -18

Correct me if I end up being wrong.

for every 5 coins Carmen gets, she gives her brother Frankis 2 coins. If Carmen gets 9 coins, how many do her brother have?

Answers

Answer:

6 coins

Step-by-step explanation:

For every 5 coins Carmen recieves, she gives off 2 to her brother, leaving her with 3 coins, 3x3=9, 2x3=6

The answer is 6.
The 2 coins that Frankis get multiply by 3

I need help anyone plss :)

Answers

Answer:

Step-by-step explanation:

the following are true

1) yes

2)No

3)yes

4)yes

5)yes

6)no

marking brainliest!!

Answers

Answer:

A

Step-by-step explanation:

A is your answer because

the exponent is 2 for the two equations first u have to multiply your exponents and then you multiply your 4 and 3 from that u get your answer ,but answer is A

Hope this helps:)

Pls mark brainlist

Answer:

A) [tex]\sqrt{4^{2} +3^{2} }[/tex]

Step-by-step explanation:

One side is 4 cm, the other side of the triangle is 3 cm because you subtract 4 from the 7 length. To find hypotenuse, you do side 1 squared + side 2 squared.

Hope it helps!

A store is randomly giving away gift cards to the first 150 customers. They are giving 130 gift cards that have a value of $5 each and 15 gift cards that have a value of $50 each. The rest of the gift cards have a value of $100 each. Which is the probability that a customer will get a $100 gift card?

Answers

Answer:

1/30

Step-by-step explanation:

The total number of cards is 150. Subtract the numbers of the other values, 130 and 15 to get the number of $100 cards.

150 -145 = 5

5/150 is the number out of the total.

Simplify to get the probability: 1/30

My teacher likes to give me stuff I haven’t learned

Answers

Answer:

haha same

Step-by-step explanation:

i think the answer is B

Answer:

hmm not so difficult

Step-by-step explanation:

I think it's B

what is the value of 18-3 k ÷9 when k=4​

Answers

Answer:

16.6666666667

Step-by-step explanation:

Answer: 50/3 or 16 2/3 or 16.67

Step-by-step explanation:

Given

18-3k÷9

Substitute [k] value into the given expression

 18-3k÷9

=18-3(4)÷9 ⇒ Substitute the value

=18-12÷9 ⇒ Expand the parenthesis

=18-4/3 ⇒ First do division

=54/3-4/3 ⇒ Convert an integer into a fraction

=50/3=16 2/3=16.67

Hope this helps!! :)

Please let me know if you have any questions

Find the exact value of csc 5pi/6

Answers

Answer:

csc 2 (csc [tex]\frac{5\pi}{6}[/tex] = csc 150 = csc 30 = csc 2)

Step-by-step explanation:

csc [tex]\frac{5\pi}{6}[/tex] is in the 2nd Quadrant where only sin, and csc are positive.

csc [tex](\frac{5\pi}{6})=csc (\pi -(\frac{5\pi}{6}))=csc(\frac{5\pi}{6})[/tex]

but csc [tex]\frac{5\pi}{6}[/tex] = [tex]\frac{1}{sin (\pi/6)} = \frac{1}{sin 30} = \frac{1}{1/2} =2[/tex]

[8-(-12)]÷(2x-2)-(-8)

Answers

Answer:

3

Step-by-step explanation:

2x-3y=3
find the slope and y intercept

Answers

Try going into a slope calculator, they usually help if you just type online ‘slope calculator’

9 and 7 find the length of the third side

Answers

Answer:

x = √130

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Leg a = 9

Leg b = 7

Hypotenuse c = x

Step 2: Solve for x

Substitute in variables [Pythagorean Theorem]:                                           9² + 7² = x²[Hypotenuse] Rearrange:                                                                                x² = 9² + 7²[Hypotenuse] Evaluate exponents:                                                                x² = 81 + 49[Hypotenuse] Add:                                                                                          x² = 130[Hypotenuse] [Equality Property] Square root both sides:                          x = √130

Two forces with magnitudes 300 pounds and 450 pounds, with an angle of 60° between them, act upon an object. What is the approximate magnitude of the resultant force?

Answers

The resultant force in the example presented is approximately 774 pounds.

What is magnitude?

The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics.

Formally speaking, the size of an object is the visible outcome of an ordering—of the class of objects to which it belongs.

Consider the following scenario: the force is 10 N in the east.

The direction is indicated by "towards the east," while the force is indicated by "10."

Magnitude can be thought of as simply the "value" or "amount" of any physical quantity.

So, an object is under the influence of two forces with respective magnitudes of 300 pounds and 450 pounds and an angle of 60 degrees between them.

F₁=300 pounds, F₂=450 pounds and θ=60°

Fr=√300²+450²+2×300×450×cos60°

= √90000+502500+13500×0.5

= √90000+502500+6750

= √599250

= 774 pounds

Therefore, the resultant force in the example presented is approximately 774 pounds.

Know more about magnitude here:

https://brainly.com/question/24468862

#SPJ1

Answer: C. 653.91 pounds.

Step-by-step explanation:

what expression is equivalent to 3x(2+5y)​

Answers

Answer:

 x (15 y + 6) is equivalent to 3x(2+5y)​

you need 1661.06 ft squared of carpet to completely cover the floor or a round room. what is the diameter of the room.

Answers

Answer:

46 ft

Step-by-step explanation:

A = π×d²/4

d² = √4×A /π

= √4×1611.06 / 3.14

=√ 2116

= 46 ft

Answer:

46 feet squared

Step-by-step explanation:

A = π×d²/4

d² = √(4×A /π)

= √(4×1611.06 / 3.14)

= 2116

= 46 ft squared

The average weight of 8 marbles is 3.5 g. What is the total weight of the marbles?

Answers

3.5x8 = 28 grams have a good day

Which ones match together plz help.

Answers

it won’t let me actually put them but i’m trying

1. x+2<20
2. x-2<20
3. 2x<20
4. 1/2x<20

lines a and b are parallel If the slope of the line a is 1/4 . what is the slope of line b ?​

Answers

Its also 1/4 because when lines are parallel, this means they have the same slope

1. To determine the most common injury cared for in an emergency room, a reporter goes to the same hospital every
afternoon for one month during the summer and observes people entering the emergency room. She concludes that
second degree sunburn is the most common injury.
Unbiased and Biased Samples

Answers

Answer:

Unbiased

Step-by-step explanation:

Your answer would be unbiased because the reporter is going in the same hospital every afternoon for one month which means that the reporter is using the Systematic sample and systematic is an unbiased sample

Help please urgent sadly

Answers

Answer:

3x+6

Step-by-step explanation:

3x+6
Please mark this as brainliest thank you

Which expression is equivalent to the given expression?

8(34a)−8


34a

6a

8(34a−1)

34a−1

Answers

Answer:

8(34a-1)

Step-by-step explanation:

Hope this helps :)

Answer:

8(34a-1)

Step-by-step explanation:

2.' Which number has more factors: 125 or 200?

Answers

Answer:

200

Step-by-step explanation:

factors of 125 are 1, 5, 25, 125

factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100 and 200.

Based on the number of factors of the two numbers, the number with more factors is 200.

The factors of 125 are:

1525125

The factors of 200 are:

1245810254050100200

The factors of 200 are 12 in total while that of 125 are only 4.

In conclusion, 200 has more factors than 125.

Find out more about factors at https://brainly.com/question/596862.

Mark monitors the growth of a colony of bacteria in his biology lab. He begins with a colony of 100 bacteria. After 24 hours, the colony has grown to 305

bacteria. After 24 more hours, the colony consists of 897 bacteria. What is a reasonable estimate of how many bacteria he can expect to count in the colony

when he returns 24 hours later?

Answers

Answer:

After next 24 hours, bacterial population would be [tex]1433[/tex]

Step-by-step explanation:

The initial bacterial count at time = 0  was [tex]100[/tex]

At [tex]= 24[/tex] hours, the bacterial count increased up to [tex]305[/tex]

At [tex]= 48[/tex] hours, the bacterial count increased up to [tex]897[/tex]

As we know that

[tex]P = P_0 * e^{rt}[/tex]

The growth rate of bacterial population is equal to

[tex]r = \frac{log\frac{P}{P_0} }{t}[/tex]

Substituting the above values we get -

[tex]r = \frac{log\frac{897}{305} }{24}\\r = 0. 0195[/tex]

Count of bacteria after next 24 hours

[tex]P = 897 * e^{ 0.0195 * 24)\\P = 1433[/tex]

Find the slope of a line parallel to the line given

m=-7/8

A. 8/7
B. 7/8
C. -7/8
D. -8/7

Answers

the answer is C hope this helped

simplify(x^5^2/ x^2)

Answers

25 I think is the correct answer

Answer:

x^23

Step-by-step explanation:

Cancel the common factor of x^5^2 and x^2

Factor x^2 out of x^5^2

(x^2) (x^5^2-2) / (x^2)

cancel common factors

x^25-2 = x^23

which of the following graphs is described by the function given below? y=x2-6x-16

Answers

Answer:

I need a picture of the graphs first. I will comment the answer when I see the graphs

Step-by-step explanation:

Answer:

THE ANSWER IS GRAPH C

Step-by-step explanation:

A

P

E

X  AND WITH THE HELP OF SOMEONE ELSE.

PLEASEEEEEEE HELPPPPPPPPPPppp

Answers

Answer:

gstmhsiskgs sg sgw5ket5 l d

Can someone help me..
ˏ₍•ɞ•₎ˎplease
[tex] {( - 3)}^{2} [/tex]

Answers

Answer:

9

Step-by-step explanation:

(-3)^2 = -3 * -3

         = 9

How does the graph of g(x)=(x-1)^3+5 compare to the parent function f(x)=x^3

Answers

Answer:

it is one to the right and 5 up compared to its parent function.

Step-by-step explanation:

the (x-1)3 means that the graph is shifted one to the right and the + 5 means that you have to shift the garph 5 up also.

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Wow a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables if this function. ​

Answers

Answer:

The maintained speed while hiking= 3 miles per hour

Let t be the time which represent the independent variable.

Also we know that  Distance= Speed × Time

⇒ Distance traveled while hiking=3 ×t=3t

Let h represent the distance function in miles, and h(t) the dependent variable.

Then h(t)=3t

When we put t=4

Then h(4)=3×4 =12 miles.

Step-by-step explanation:

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