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 the driver earns $w/hour. complete parts (a) through (g) below.\n\n a. a plausible function to describe how gas mileage (in mi/gal) varies with speed is g(v)=v(84 - v)/63. evaluate g(0), g(40), and g(60) and explain why these values are reasonable.\n g(0)=0.00 mpg (round to two decimal places as needed.)\n 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 the driver earns $w/hour. complete parts (a) through (g) below.\n\n a. a plausible function to describe how gas mileage (in mi/gal) varies with speed is g(v)=v(84 - v)/63. evaluate g(0), g(40), and g(60) and explain why these values are reasonable.\n g(0)=0.00 mpg (round to two decimal places as needed.)\n g(40)=□ mpg (round to two decimal places as needed.)

Answer

Explanation:

Step1: Substitute $v = 40$ into the function

$g(v)=\frac{v(84 - v)}{63}$, so $g(40)=\frac{40\times(84 - 40)}{63}$

Step2: Calculate the value inside the parentheses first

$84-40 = 44$, then $g(40)=\frac{40\times44}{63}$

Step3: Calculate the product in the numerator

$40\times44 = 1760$, so $g(40)=\frac{1760}{63}$

Step4: Divide to get the result

$g(40)\approx27.94$

Answer:

$27.94$