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)=28.85 mpg (round to two decimal places as needed.) g(60)=□ 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)=28.85 mpg (round to two decimal places as needed.) g(60)=□ mpg (round to two decimal places as needed.)

Answer

Explanation:

Step1: Substitute v = 60 into g(v)

Substitute (v = 60) into (g(v)=\frac{v(84 - v)}{61}), we get (g(60)=\frac{60\times(84 - 60)}{61}).

Step2: Calculate the value in parentheses

First, calculate (84−60 = 24). So (g(60)=\frac{60\times24}{61}).

Step3: Calculate the product in the numerator

Calculate (60\times24=1440). So (g(60)=\frac{1440}{61}).

Step4: Calculate the final result

(g(60)\approx23.61) (rounded to two - decimal places).

Answer:

23.61