Modeling Rates of Change: Quiz

Problem 2

In the previous problem, suppose the organization is testing the manufacturer's claim that the car gets 34 miles per gallon of gasoline on the highway. If the car gets 27 miles per gallon over the entire course, what would have to be its mileage over the trail and dirt road sections combined in order for the highway mileage claim to be correct?

Answers, problem 2

We can first of all find the total amount of gasoline used over the entire course:

1 gallon/27 miles * 23.3333 miles = 0.864 gallons

Let x be the mileage over the trail and dirt road sections. We can write the following equation:

total gasoline consumption = 0.864 gallons = 1 gallon/34 miles * (distance travelled over highway) + (distance travelled over trial and dirt road)/x

Distance travelled over highway = 16.25 miles and distance travelled over trail and dirt road = 10.083 miles. Therefore plugging these values into the above equation,

0.478 gallons + 10.083x = 0.864 gallons => x = 18.338 miles/gallon.

Next ≈ Previous ≈ Up