Question

You are renting a car that charges a $30 fee plus 40 cents a mile. The rate of change is $30.
True or False?

Answer 1

The answer would be true

Answer 2

Hi there!  

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I believe your answer is:

False.

0.40 is the rate of change.

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Here’s why:  

• As mentioned in the scenario, the car company charges a $30 fee which is flat. The '30' is the base for the total cost.
• The car company also charges 40 cents for every mile driven.
• This means that the company would charge a 40 cents for a mile driven.
• 40 cents would be the rate of change, not $30.

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Side Note:

An equation that represents the situation could be:

$C = 0.40m + 30$

'C' is the total cost for renting the car.

'm' is the number of miles the car is driven.

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Hope this helps you. I apologize if it’s incorrect.