Question

GIVING BRAILYIST AND EXTRA POINTS PLSSSS HELP

When Jayne makes the trip from her college to her home on the weekends, she drives an average
speed of 65 miles per hour. It takes about 1 hour and 30 minutes for Jayne to get home. Her car
gets about 24 miles to a gallon of gas.
A. About how many gallons of gas will it take to get her home?
B. If gas costs $3.89 a gallon, how much money will Jayne spend on gas to get home?
(EXTRA CREDIT)
C. If her tank is already about 1/4 full and she has an 18 gallon tank, how much will it cost her to
fill the tank at the same rate of $3.89 per gallon?

Answer 1

Part A

1 hour + 30 min = 1.5 hours

distance = rate*time

distance = (65 mph)*(1.5 hrs)

distance = 97.5 miles

(mpg rating)*(number of gallons) = distance traveled

(24 mpg)*(x gallons) = 97.5 miles

24x = 97.5

x = (97.5)/(24)

x = 4.0625

Answer: 4.0625 gallons

=======================================================

Part B

1 gallon = 3.89 dollars

4.0625*(1 gallon) = 4.0625*(3.89 dollars)

4.0625 gallons = 15.803125 = 15.80 dollars

Answer: $15.80

=======================================================

Part C

1/4 = 0.25

1/4 of 18 = 0.25*18 = 4.5

She currently has 4.5 gallons of gas in her tank

She needs 18-4.5 = 13.5 gallons if she wants to completely fill the tank.

1 gallon = 3.89 dollars

13.5*(1 gallon) = 13.5*(3.89 dollars)

13.5 gallons = 52.515 = 52.52 dollars

Answer: $52.52