Question

A car travels 22 miles for every gallon of gasoline used. The table below represents this relationship.

Gas Mileage
Distance Traveled
(miles)
Gasoline Used
(gallons)
22
1
44
2
x
3
88
4

Which equation correctly shows a pair of equivalent ratios that can be used to find the unknown?
1.StartFraction 1 over 22 EndFraction = StartFraction x over 2 EndFraction
2.StartFraction 22 over 1 EndFraction = StartFraction x over 2 EndFraction
3.StartFraction 1 over 22 EndFraction = StartFraction x over 3 EndFraction
4.StartFraction 22 over 1 EndFraction = StartFraction x over 3 EndFraction

Answer 1

To find the unknown value \( x \) in the table that corresponds to the distance traveled for 3 gallons of gasoline used, we can set up a ratio based on the relationship between distance traveled and gasoline used.

Since the car travels 22 miles for every 1 gallon of gasoline, we can express this as a ratio:

\[
\frac{22 \text{ miles}}{1 \text{ gallon}}
\]

For 3 gallons of gasoline used, the distance traveled would be represented as \( x \) miles:

\[
\frac{x \text{ miles}}{3 \text{ gallons}}
\]

To find \( x \), we can set the two ratios equal to each other:

\[
\frac{22}{1} = \frac{x}{3}
\]

In this context, the correct equation that represents the equivalent ratios is:

**4.** \(\frac{22}{1} = \frac{x}{3}\)

So, the answer is **4**.