Question

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.

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:

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

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

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