Question

The fuel consumption in miles per gallon for a car varies inversely with its weight. Suppose a car that weighs 3,000 pounds gets 28.7 miles per gallon on the highway. Write the equation that relates y, the fuel consumption in miles per gallon, to the car’s weight, w pounds. How many miles per gallon would a car get, if it weighs 4,100 pounds?

Answer 1

Answer:

y = 86100 / w.

21 miles per gallon.

Step-by-step explanation:

If y is the consumption then:

y  = k / w   where k is some constant so we have:

28.7 = k / 3000

k = 3000 *28.7 = 86100

So the required equation is y = 86100 / w.

For a car weighing  4100 pounds:

y =  86100 / 4100 = 21 miles per gallon.