Question

You have a coupon for $5 off an oil change. When you arrive at the auto repair
shop, you learn that the store is holding a customer appreciation sale, and all
customers will receive 10% off the cost of the repair. Write a function p (x) that
represents how much you would pay if you use the coupon first, followed by
applying the discount from the repair shop.

Answer 1

The function that represents how much you would pay is:

p(x) = (x - $5)*0.9

How to find the function?

Let's say that the cost of the repair is x.

First, we apply the coupon, so we discount $5 for the cost.

x - $5.

Then we apply another discount of the 10%, this is written as:

(x - $5)*(1 - 10%/100%)

(x - $5)*(1 - 0.1)

(x - $5)*0.9

Then the function that represents how much you would pay is:

p(x) = (x - $5)*0.9

If you want to learn more about functions:

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