a simple model for travel costs involves the cost of gasoline and the cost of a driver. specifically, assume…

a simple model for travel costs involves the cost of gasoline and the cost of a driver. specifically, assume that gasoline costs $p/gallon and the vehicle gets g miles per gallon. also, assume that the driver earns $w/hour. complete parts (a) through (g) below. a. a plausible function to describe how gas mileage (in mi/gal) varies with speed is g(v)=v(84 - v)/61. evaluate g(0), g(40), and g(60) and explain why these values are reasonable. g(0)=0.00 mpg (round to two decimal places as needed.) g(40)=□ mpg (round to two decimal places as needed.)

a simple model for travel costs involves the cost of gasoline and the cost of a driver. specifically, assume that gasoline costs $p/gallon and the vehicle gets g miles per gallon. also, assume that the driver earns $w/hour. complete parts (a) through (g) below. a. a plausible function to describe how gas mileage (in mi/gal) varies with speed is g(v)=v(84 - v)/61. evaluate g(0), g(40), and g(60) and explain why these values are reasonable. g(0)=0.00 mpg (round to two decimal places as needed.) g(40)=□ mpg (round to two decimal places as needed.)

Answer

Explanation:

Step1: Substitute v = 40 into g(v)

$g(40)=\frac{40\times(84 - 40)}{61}$

Step2: Calculate the numerator

$40\times(84 - 40)=40\times44 = 1760$

Step3: Calculate g(40)

$g(40)=\frac{1760}{61}\approx28.85$

Answer:

28.85