Question

A carwash charges $8 per car and can wash at most 10 cars each hour. The amount the carwash earns in an hour depends on the number of cars washed. What is the domain of this relation?

Answer 1

The domain is all real numbers greater than zero car and less than or equal to 8 cars

Explanation:

Let

x ------> the number of cars in an hour

y ----> amount that the car wash earns in an hour

we know that

The amount that the car wash earns in an hour is equal to multiply the number of cars by the charge per car

`y=8x` -----> equation A

Remember that the word "at most" is equal to "less than or equal to"

so

`x\leq 10\ cars` ----> inequality B

therefore

The domain is the interval ------> [0,10] (the number of cars cannot be a negative number)

The domain is all real numbers greater than zero car and less than or equal to 8 cars