Question

The Ortiz family will travel from Indianapolis to Denver this summer. The driving distance between the two cities is 1,058 miles. They need to find out about how much the gas will cost round trip. Their car gets about 20 miles per gallon. A. Write and solve an algrebraic equation to find out how many gallons of gas they will use. Explain your steps. B. Write and solve an algebraic equation to find out how many miles they will travel.

Answer 1

A. Write and solve an algrebraic equation to find out how many gallons of gas they will use. Explain your steps.

let x = gallons of gas they will use
    y = distance traveled

x = y/20 
x = 1058/20 = 52.9 gallons of gas

B. Write and solve an algebraic equation to find out how many miles they will travel.

let x = distance traveled
    y = gallons of gas used

x = 20y
x = 20(52.9) 
x = 1058 miles

Hope this helps. Have a nice day.

Answer 2

We get the following outcomes

(I) Relation between distance, mileage, and Amount of fuel spent is   D=MN

(II) Amount of gas spent to travel 1058 miles = 52.29 gallons

It is given that

Distance D between two cities = 1058 miles

Mileage M of the car = 20 miles per gallon

as we know that

distance traveled D = mileage M* Number of gallons N

D=MN

what is the mileage?

Mileage is the number of miles traveled or covered.

So, the amount of gas spent to travel 1058 miles:

D/M = 1058/20 =52.29 gallons.

Hence,(I) relation between distance, mileage, and amount of fuel spent is D=MN.

(II) Amount of gas spent to travel 1058 miles = 52.29 gallons

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