A particular hybrid car travels approximately 288 mi on 6 gal of gas. Find the amount of gas...

Question:

A particular hybrid car travels approximately 288 mi on 6 gal of gas. Find the amount of gas required for a 912-mi trip.

Proportions in Mathematics

Proportions are used when we have a linear relationship between two variables. Let's say we know that a mi of trip requires b gal of gas and we're interested in how much gas x would be required for c mi trip. Then we might construct a proportion stating that {eq}\frac{a}{b} = \frac{c}{x} {/eq}.

Answer and Explanation:

According to our defined proportion, assume that our variables are:

{eq}a = 288 mi,\\ b = 6 gal,\\ c = 912 mi {/eq}

Solving the proportion for x, we get:

{eq}\frac{a}{b} = \frac{c}{x},\\ ax = bc,\\ \therefore x = \frac{bc}{a} {/eq}

Substituting the given variables, we obtain:

{eq}x = \frac{912 mi\cdot 6 gal}{288 mi} = 19 gal {/eq}

Therefore, for a 912 mi trip, we would require {eq}\boxed{19 gal} {/eq} of gas.


Learn more about this topic:

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What is a Proportion in Math? - Definition & Practice Problems

from High School Algebra I: Help and Review

Chapter 23 / Lesson 15
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