Question

Erin’s car uses 6 gallons of gas for every 138 miles she drives. Which equation could be used to find how many gallons,g, Erin needs to drive 92 miles

Answer 1

Answer:

g = 6 / 3 x 2

Step-by-step explanation:

g = 6 / 3 x 2 because 92 / 2 = 46. 46 x 3 = 138. so / 3 = 46 x 2 = 92

Answer 2

Thus, Erin required 4 gallons of gas to drive 92 miles.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

Let the gallon used by Erin bey and distance traveled be x
Now fuel consumed by Erin is directly proportional to the distance traveled i.e.
y ∝ x
y = ax   - - - - - - (1)
where is the constant

Now put y = 6 and x = 138
6 = a * 138
a = 6/138
a = 0.043
Now put a in equation 1

y = 0.043x

The above expression is a required expression that implies how mush gallons of gas Erin used to travel a certain distance.

Erin needs to drive 92 miles,
Put x = 92 in above expression
y = 0.043 * 92
y = 4 gallon

Thus, Erin required 4 gallons of gas to drive 92 miles.

Learn more about proportionality here:
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