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? D: 0 ≤ g ≤ 340 R: 0 ≤ M(g) ≤ 20 D: 0 ≤ g ≤ 20 R: 17 ≤ M(g) ≤ 340 D: 17 ≤ g ≤ 20 R: 20 ≤ M(g) ≤ 340 D: 0 ≤ g ≤ 20 R: 0 ≤ M(g) ≤ 340 NextReset

For this case we have the following function: [tex] M (g) = 17g [/tex] 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: [tex] M (20) = 17 (20) [/tex] [tex] M (20) = 340 [/tex] Thus, the domain of the function is: [tex] 0 \leq g \leq 20 [/tex] The range of the function is: [tex] 0 \leq M(g) \leq 340 [/tex] Answer: A domain and range that are reasonable for the function are: D. D: 0 ≤ g ≤ 20 R: 0 ≤ M (g) ≤ 340