The fuel consumption, measured in gallons per hour, or a car traveling at a spee

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The fuel consumption, measured in gallons per hour, or a car traveling at a speed or v miles per hour is c = rv (a) What is the meaning of the derivative fv)? The derivative is the rate at which the fuel consumption is changing with respect to the speed. The derivative is the amount of fuel consumption based on the speed of the car The derivative is the rate at which the speed is changing with respect to the fuel consumption. O The derivative is the speed of a car based on its fuel consumption What are its units? O (gallons/hour)/(miles/hour) O miles/hour O (miles/hour)/(gallons/hour) (b) Write a sentence (in layman's terms) that explains the meaning of the equation F(ao)-0.03 If you decrease your fuel consumption by about 0.03 gallons per mile, you will be driving 30 miles/hour If you increase your fuel consumpt on by about 0.03 gallons per mile, your speed will decrease 30 OIf you increase your speed to 31 miles/hour, you could expect to decrease your fuel consumption t iles/hour)/(gallons/hour). If you increase your speed to 31 miles/hour, you could expect to increase your fuel consumption by about 0.03 (m Submit Answer Save Progress

Explanation / Answer

c= f(v)

(a)

c'=f '(v)

the derivative is the rate at which the fuel consumption is changing with respect to the speed

units are (gallons/hour)/(miles/hour)

(b)

f '(30) =-0.03

at the speed of 30miles per hour fuel consumption is decreasing at 0.03 (gallons/hour)/(miles/hour)

if you increase your speed to 31 miles/hour ,you could expect to decrease your fuel consumption by about 0.03 (gallons/hour)/(miles/hour)

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