Question

Miss Kito’s car holds 18 gallons of gasoline. As she was driving, she noticed that the fuel gauge indicated that she had 1/5 of the tank remaining. a. [3 points] If gas is currently $2.70 per gallon, how much will it cost to fill up the tank? Make sure to express your answer with appropriate units. b. [3 points] Miss Kito’s car gets 26 miles to the gallon. After filling up the tank she drove from Phoenix to San Diego (a total of 364 miles). What fraction of the tank is remaining at that point? Express your answer as a fraction in lowest terms.

Answer 1

We will see that the cost of filling the tank is $38.88, and at the final of the trip she will have 4 gallons on the tank.

How much costs to fill the tank?

a) The car holds 18 gallons, and it has 1/5 of the tank remaining.

Then in the tank there are:

(1/5)*18 = 3.6 gallons.

Then we need 18 gal - 3.6 gal = 14.4 gal

And each gallon costs $2.70, then to fill the tank, Miss Kito needs:

(14.4)*$2.70 = $38.88

b) Now we know that the car travels 26 miles per gallon, and she needs to travel a total distance of 364 miles.

Then she needs:

$\frac{364mi}{26 mi/gal} = 14 gal$

To travel that distance, and the car holds 18 gallons, so at the end of the trip, she will have 4 gallons of gasoline in her car.

If you want to learn more about algebra, you can read:

brainly.com/question/4344214