Question

Lulu is taking a road trip to visit family. Her car has a 20-gallon gas tank and the car uses 12 gallons to travel 216 miles.
Which linear equation represents the number of gallons of gas, G, left in the tank after driving m miles?
A. G = 360 - 18m
B. G = 20 - 18m
c. G=20 - 1gm
D. G=360 - 16"

Answer 1

Answer:

The answer is G = 20 - m/18, but none of the answers given is correct.

Step-by-step explanation:

1. Let's review the information given to us to help Lulu to answer the question correctly:

Capacity of the gas tank of Lulu's car = 20 gallons

Lulu can travel 216 miles using 12 gallons

2. Which linear equation represents the number of gallons of gas, G, left in the tank after driving m miles?

G = number of gallons left in Lulu's car

m = Miles driven by Lulu

miles per gallon = 216/12 = 18 miles per gallon

Now, we can write the linear equation, this way:

G = Capacity of the gas tank of Lulu's car - miles driven/miles per gallon

Replacing with the values we know:

G = 20 - m/18

Let's assume Lulu drives 180 miles, using our linear equation, we have:

G = 20 - 180/18

G = 20 - 10 = 10 gallons left

Let's assume Lulu drives 54 miles, using our linear equation, we have

G = 20 - 54/18

G = 20 - 3 = 17 gallons left