An auto shop charges a customer an equal amount for each new tire purchased plus an additional fee for an oil change.
The function C(t) = 87t +32 represents the total cost, C, of getting an oil change and purchasing t, tires.
What does the number 87 represent in the function?
A The slope and the cost per tire purchased.
B The slope and the fee for an oil change.
The y-intercept and the cost per tire purchased.
The y-intercept and the fee for an oil change.

Answers

Answer 1

The cost per unit of the auto shop function is the slope of the function

87 represents the slope and the cost per tire purchased

The function is given as:

[tex]\mathbf{C(t) = 87t + 32}[/tex]

A linear function is represented as:

[tex]\mathbf{C(t) = mt + b}[/tex]

Where:

m represents the slope or the unit rate.

So, by comparison:

[tex]\mathbf{m = 87}[/tex]

This means that 87 represents the slope and the cost per tire purchased

Read more about slopes at:

https://brainly.com/question/18576224


Related Questions

on a shopping trip, Gina buys two books priced $4.99 and $12.99. She also buys 2 notebooks, 2 packs of pencils, and 3 composition books. The books are on sale for 10% off the list price and school supplies are 15% off. The store charges 6.5% sales tax. Item Cost ($) Notebooks 2.88 Composition Books 0.79 Pencil Packs 1.89

Answers

The total cost of items Gina bought on her shopping trip given the percentage discount is $26.31

Given:

cost of two books = $4.99 + $12.99

= $17.98

Amount paid for books = $17.98 - 10% of $17.98

= 17.98 - 0.1 × 17.98

= 17.98 - 1.798

= $16.182

Cost of notebooks = quantity × price

= 2 × $2.88

= $5.76

cost of composition books = quantity × price

= 3 × $0.79

= $2.37

cost of pencil packs = quantity × price

= 2 × $1.89

= $3.78

Total cost = $5.76 + $2.37 + $3.78

= $11.91

Amount paid for school supplies = $11.91 - 15% of $11.91

= 11.91 - 0.15 × 11.91

= 11.91 - 1.7865

= $10.1235

Therefore,

total cost of all items Gina bought = $16.182 + $10.1235

= $26.3055

Approximately, $26.31

Read more:

https://brainly.com/question/19535437

Given (x-2)2/25 +(y+3)2/4
<1, which point lies in the solution set

Answers

Answer:

B. (3, -2.5)

Step-by-step explanation:

Got it Right on EDGE

These are two similar triangles
What is the measure of x?
24
12
X
4
x = [?]
=

Answers

I believe the answer should be 18. Try

Write a possible polynomial function in factored form with roots 0, -2, and 7. Group of answer choices
f(x)=(x+1)(x+2)(x−7)
f(x)=x(x+2)(x−7)
f(x)=x(x−2)(x+7)
f(x)=(x+2)(x−7)

Answers

Answer:

2nd option

Step-by-step explanation:

Given x = a is a root of a polynomial function then (x - a) is a factor

Given roots are x = 0, x = - 2, x = 7 , then corresponding factors are

(x - 0) , (x - (- 2) ) , (x - 7) , that is

x , (x + 2) , (x - 7)

The polynomial function f(x) is then the product of the factors, so

f(x) = x(x + 2)(x - 7)

Which angle in the isosceles triangles is the biggest?

Answers

Answer:

Since the two base angles are congruent (same measure), they are each 70°. If we are given a base angle of say 45°, we know the base angles are congruent (same measure) and the interior angles of any triangle always add to 180°.

Answer:

degrees

Step-by-step explanation:

Complete the table for y=2x-3

Answers

Answer:

See attachment also

Step-by-step explanation:

Let y be 0 at first.

Now let x be 0.

y | 0 -3

x | 1.5 0

Find the value of each variable.

Answers

Answer:

x=17

Step-by-step explanation:

their interior angles so they equal each other

40=2x+6

34=2x

x= 17


i need some help on this!

Answers

Answer:

4

Step-by-step explanation:

AB=AC

2x-3=x+3

x=6

______________________________

BC=

x-2

(6)-2=4

The function f(x)=x−−√ is reflected over the x-axis, translated 4 units down and 5 units to the left, then vertically stretched by a factor of 3. Which equation best represents the new function created?

Answers

Answer:

U dry aint put a answer

Step-by-step explanation:

Transformation involves changing the position of a function.

The equation of the new function is: [tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]

The function is given as:

[tex]\mathbf{f(x) = \sqrt x}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{f'(x) = -\sqrt x}[/tex]

The rule of translation, 4 units down and 5 units left is:

[tex]\mathbf{(x,y) \to ( x + 5,y-4)}[/tex]

So, we have:

[tex]\mathbf{f"(x) = -\sqrt{x + 5} - 4}[/tex]

The rule of vertical stretch by a factor of # is:

[tex]\mathbf{(x,y) \to (x,3y)}[/tex]

So, we have:

[tex]\mathbf{g(x) = 3(-\sqrt{x + 5} - 4)}[/tex]

[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]

Hence, the equation of the new function is:

[tex]\mathbf{g(x) = -3\sqrt{x + 5} - 12}[/tex]

Read more about transformation at:

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help me help me help me help me help me​

Answers

Answer:

2/5 * 4/5 =  8/25        7/9 * 2/3 = 14/27   4/7 * 2/3 = 8/21  1/6 * 7/8 = 7/48  2/3 *3/9 = 2/9

Step-by-step explanation: Just multiply the top with top and bottom with the bottom    To draw = just use a ruler for the width  we know if you measure the square box say it is already { 20 mm } wide  then you 2 * 4 = 8 is 2/5 of 20 so you shade the 8mm    Then to get the 4 as ultiplier we know 20/5 =4  

Find an ordered pair (x, y) that is a solution to the equation
3x+y=7
(x,y) = 0.0
X 00
?

Answers

Answer:

(0, 7) is an ordered pair solution to 3x + y = 7

Step-by-step explanation:

Given the equation 3x + y = 7, find a solution (ordered pair).

There are an infinite number of possible solutions.  Let's focus on just one:

Let x = 0.  Then y = 7, and (0, 7) is an ordered pair solution to 3x + y = 7

Find the value of the power. (2/3)3  ​

Answers

Answer:

8/27

Step-by-step explanation:

[tex](\frac{2}{3})^3 = \frac{2}{3} * \frac{2}{3} * \frac{2}{3} = \frac{8}{27}[/tex]

Item 1
Joanna has of a gallon of milk left that has an expiration date in 6 days. If she splits the milk
equally among her next 6 bowls of cereal, how much milk will she use in each bowl?

Answers

Answer:

Joanna will use 1 gallon of milk in each bowl.

Step-by-step explanation:

Divide 6 into 6 bowls to get 1

a basket holds n apples. U-Pick 2n-3+ apples, and your friend picks n+4 apples. How many apples do you and your friend pick all together? How many baskets do you need to carry all the apples? Justify your answer.

Answers

Answer:

3n+1

Step-by-step explanation:

2n-3+n+4=3n+1

...............

Find the measure of the missing angle.

Answers

Answer:

a = 34

Step-by-step explanation:

Tell me in the comments if you want an explanation!

Hope This Helps! •v•

I need a step by step explanation, please.

Answers

Answer:

MAG SEARCH KAPO KASI PARA MALAMAN NIYO

how do I solve mn + 9 when m= 5 and n= 3 do I multiply?

Answers

Answer:

yes u would multiply

Step-by-step explanation:

Como parte de un ejercicio topográfico, Salma debe hacer un registro del terreno donde está construido el Taj Mahal que es de 580m de largo x 300m de ancho. Y suponiendo que 9 ayudantes trabajarán junto con ella, ¿cuántos metros cuadrados le toca registrar a cada quién POR DÍA durante un mes? Supongamos que el mes tiene 30 días.
cual es la respuesta? porfa urge

Answers

Queremos ver cuantos metros cuadrados debe registrar cada integrante del grupo por día.

Veremos que cada integrante debe registrar 580m^2 por día.

La informacion que se nos da es:

Sabemos que los integrantes son 10, Salma y sus 9 ayudantes.El área que deben investigar esta dada por: 580m*300m = 174,000 m^2Disponen de un total de 30 días para trabajar.

Conociendo el área y el número de integrantes, el área que le tocara a cada integrante está dada por:

a = 174,000 m^2/10 = 17,400 m^2

Y sabemos que tendran 30 días para registrar esa área, entonces asumiendo que en cada día registran una cantidad fija de superficie, lo que deben registrar cada día está dado por:

d = a/30 = 17,400 m^2/30  = 580m^2

Eso es lo que cada integrante debe registrar por día,

Sí quieres aprender más, puedes leer:

https://brainly.com/question/16512349

jamal plans to save for a new scooter that costs 48 dollars. the sales tax rate is 5% how much will jamal need to save

Answers

50.40 is the answer

Can someone help me please. Write the equation to show what would happen on the 9th term

Answers

it would be the 9th term equation

( ax + 2 ) ( bx - 4 )

Answers

Answer:

Step-by-step explanation:

(ax + 2 )(bx - 4 ) = ax *(bx - 4) + 2*(bx - 4)

                  = ax*bx - 4*ax + 2*bx - 4*2

                   = abx² - 4ax + 2bx - 8

Answer:

[tex]=ax^2b-4ax+2bx-8[/tex]

Step-by-step explanation:

Please help me with this geometry

Answers

Answer:

no

Step-by-step explanation:

please do this for me

Answers

21+96 = 117
180-117=63
X= 63

Answer:

63 degrees

Step-by-step explanation:

HINT: know that in a triangles angles add up to 180 degrees.

1. 96+21= 117

2. 180-117=63

3.  63 degrees

The line passes the points (-6,2) and (3,-5)​

Answers

Answer:

Slope-intercept form:

y = -7/9x - 8/3

The slope:

m = -7/9

Picture is of it graphed

6 friends go strawberry picking. They pick 30 strawberries on Friday and 12 strawberries on Saturday. How many strawberries dose each person get?

Answers

7 strawberries. 30 plus 12 is 42. 42 divided by 6 equals to seven. 7 strawberries each.

Can someone pls help me

Answers

Answer:

I'm not sure, but I'll try

Step-by-step explanation:

(Side)^2 = (Hypotenuse)^2 - (Side)^2

(Side)^2 = (9)^2 - ( √ 65 )^2

(Side)^2 = (81) - (65)

(Side)^2 = 16

Take root of answer

Side = √16

Side = 4

Answer = 4

>> Answer

_________

[tex] \: [/tex]

a² = c² - b²

a² = 9² - (√65)²

a² = 81 - 65

a² = 16

a = √16

a = 4

plz help me what the coordinate points for each

Answers

Answer:

A. (-4, -3)

B. (5, 3)

C. (-1, 3)

Step-by-step explanation:

Ok, bear with me, its been a while since I have done this so make sure you double check.

A. So, we already know where point A is(1,-3) and we need that to find B

It says we need a reflection which is basically mirroring it across the y-axis(note: if it were across the x-axis then this would turn out much differently.)

Its hard to explain but i will tell you that reflecting point A will give us (-1, -3)

Now we need to translate it 3 units to the left

(-4, -3)

B. Ok, next we have point C which is a reflection using the x-axis (now you will see how important it is to make sure you are reflecting in the right place.) Over the x-axis, will give us (1, 3).

Now we need to translate to the right... (5, 3)

C. Point D... we need to rotate it. Now, rotating is a little bit more work than reflecting and translating but its not hard.

since we are rotating 180 degrees then we are basically just turning it around halfway from 360...

A is (1, -3) so D would be (-1, 3)

Hope this helps :)

What is the slope-intercept equation
for the following line?

Answers

Answer: y = -1/2x + 1

Find the area I will make you Brainliest (show working)​

Answers

Answer:

Step-by-step explanation:

16 * 16 = 256

8 * 36 = 288

Add

Answer= 544 mm^2

Answer:

The answer is 544

Step-by-step explanation:

16*16=256

(8+12+16)=36

36*8=288

288+256= 544

[tex]\sf 29=8x-3[/tex]

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Value of x is :

[tex]4[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

[tex]29 = 8x - 3[/tex]

[tex]29 + 3 = 8x[/tex]

[tex]8x = 32[/tex]

[tex]x = 32 \div 8[/tex]

[tex]x = 4[/tex]

[tex]\huge{\mathfrak{Kaul}}[/tex]

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