Let the function c(v) model the gas consumption (in liters/km) of a car going at velocity...

Let the function c(v) model the gas consumption (in liters/km) of a car going at velocity v (in kilometers/hour). In other words, c(v) tells you how many liters of gas the car uses to go 1 km, if it is going at velocity v.

You find that (80) 0.04 and '(80) 0.0004

1. Let the function d(v) model the distance the same car goes on 1 L of gas at velocity v.

a. Express the relationship between c(v) and d(v) in an equation. [4 pts]

b. Find d(80) and d’(80). (Hint: Find the general d’(v) first.) [4 pts]

c. Interpret your result for d’(80) in a sentence. (That is, “When the car is travelling at 80 kph ….” ) [4 pts] (Even if you couldn’t get part b, you can still tell me what d’(80) means about the car.) [5 pts]

Expert Solution

milcah answered 2 years ago

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