All categories

3 years ago

An auto shop charges a customer an equal amount for each new tire purchased plus an additional fee for an oil change.

Mathematics

1 answer:

Nitella [24]3 years ago

6 0

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:

$\mathbf{C(t) = 87t + 32}$

A linear function is represented as:

$\mathbf{C(t) = mt + b}$

Where:

m represents the slope or the unit rate.

So, by comparison:

$\mathbf{m = 87}$

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

You might be interested in

What is the second term of this multiplication pattern? multiplication pattern using the formula 5 • 5n – 1 A. 1 B. 250 C. 125 D

forsale [732]

See my comments . I think the answer might be D 25

6 0

3 years ago

Help please I don't get how to do this

Wewaii [24]

Answer:

15:5 = 18:6 = 21:7

The scale factor is 1/3 or 0.33.

Step-by-step explanation:

4 0

3 years ago

What fraction is exactly halfway between 4/5 and 14/15? Give your answer in its simplest form.

Wewaii [24]

Answer:

4/5+14%15

4×3/5+14×1/15

12+14/15

26/15

(26/5)/2

13/15

5 0

3 years ago

You purchase a car using a $20,000 loan with a 5% simple interest rate.

erica [24]

A) I=prt; I=20,000(.05)(4) = $4000 b) I = prt; I = 20,000(.05)(2) = $2000 $4000-$2000 = $2000. You save $2000 by paying it off in 2 years vs. 4 years

7 0

4 years ago

I need help on this saturday guys

Anna71 [15]

The point-slope form:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - the point

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (5, 4) and (2, -2). Substitute:

$m=\dfrac{-2-4}{2-5}=\dfrac{-6}{-3}=2$

$y-4=2(x-5)$ - point-slope form

$y-4=2x-10$ add 4 to both sides

$y=2x-6$ - slope-intercept form

$y=2x-6$ subtract 2x from both sides

$-2x+y=-6$ change the signs

$2x-y=6$ - standard form

-------------------------------------------------------------------

From the table we have two points (1, 3) and (2, 7). SubstituteL

$m=\dfrac{7-3}{2-1}=\dfrac{4}{1}=4$

$y-3=4(x-1)$ - point-slope form

$y-3=4x-4$ add 3 to both sides

$y=4x-1$ - slope-intercept form

$y=4x-1$ subtract 4x from both sides

$-4x+y=-1$ change the signs

$4x-y=1$ - standard form

6 0

3 years ago