Question

Mark’s car holds a maximum of 20 gallons of gas. The function f(g) = 2.85g models the relationship between the total cost of gas, f(g), and the number of gallons of gas purchased, g. What is the most appropriate domain of the function?

Answer 1

Since the maximum capacity of Mark's car is 20 gallons, so he can buy up to 20 gallons or even 20 gallons. Then

`g\le20`

On the other hand, since it doesn't make sense for Mark to buy 0 gallons then he will buy more than 0 gallons. Then

`0Therefore, <strong>the most appropriate domain of the function is </strong>[tex]g\le20`

and the correct answer is C.