Question

Danny's truck has a fuel tank with a capacity of 20 gallons of gas. The truck averages 17 miles per gallon of gas. The function M(g) = 17g represents the number of miles that Danny's truck travels on g gallons of gas. What domain and range are reasonable for the function?

A. D: 0 ≤ g ≤ 340
R: 0 ≤ M(g) ≤ 20
B. D: 0 ≤ g ≤ 20
R: 17 ≤ M(g) ≤ 340
C. D: 17 ≤ g ≤ 20
R: 20 ≤ M(g) ≤ 340
D. D: 0 ≤ g ≤ 20
R: 0 ≤ M(g) ≤ 340

Answer 1

For this case we have the following function:

`M (g) = 17g`

Where,

g: number of gallons of gas

M (g): number of miles that Danny's truck travels

We know that the maximum capacity is 20 gallons of gas.

Therefore, the maximum distance the truck can travel is given by:

`M (20) = 17 (20)`

`M (20) = 340`

Thus, the domain of the function is:

`0 \leq g \leq 20`

The range of the function is:

`0 \leq M(g) \leq 340`

Answer:

A domain and range that are reasonable for the function are:

D. D: 0 ≤ g ≤ 20

R: 0 ≤ M (g) ≤ 340