Gas mileage actually varies slightly with the driving speed of a car​ (as well as with highway vs. city​ driving). Suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per​ hour, and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour. Answer parts​ (a) and​ (b) below.
a. What is the driving time for a 2000​-mile trip if you drive at an average speed of 54 miles per​ hour?
What is the driving time at 75 miles per​ hour?

The driving time at 54 miles per hour is
nothing hours.
​(Type an integer or decimal rounded to two decimal places as​ needed.)
The driving time is at 75 miles per hour is
nothing hours.
​(Round to two decimal places as​ needed.)
b. Assume a gasoline price of ​$3.33 per gallon. What is the gasoline cost for a 2000​-mile trip if you drive at an average speed of 54 miles per​ hour? What is the gasoline cost at 75 miles per​ hour?
The gasoline cost at 54 miles per hour is ​$
nothing.
​(Round to two decimal places as​ needed.)
The gasoline cost at 75 miles per hour is ​$
nothing.
​(Round to two decimal places as​ needed.)

Respuesta :

aachen

Answer:

The driving time at 54 miles per hour is 37.04 hours.

The driving time is at 75 miles per hour is 26.67 hours.

The gasoline cost at 54 miles per hour is ​$201.82

The gasoline cost at 75 miles per hour is ​$302.73

Step-by-step explanation:

Suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per​ hour,

and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour.

The driving time for a 2000​-mile trip if you drive at an average speed of 54 miles per​ hour = Distance / Speed = 2000 / 54 = 37.04 hours.

The driving time for a 2000​-mile trip if you drive at an average speed of 75 miles per​ hour = Distance / Speed = 2000 / 75 = 26.67 hours.

Assume a gasoline price of ​$3.33 per gallon.

The gasoline cost for a 2000​-mile trip if you drive at an average speed of 54 miles per​ hour = (Distance / Gas mileage) * Cost = (2000/33)*3.33 = $201.82

The gasoline cost for a 2000​-mile trip if you drive at an average speed of 75 miles per​ hour = (Distance / Gas mileage) * Cost = (2000/22)*3.33 = $302.73