A truck drives 150 miles and uses 15 gallons of gasoline. How far could the truck drive with 7 gallons of gasoline? (6.RP.3.b)(1 point)

Responses

10 miles
10 miles

70 miles
70 miles

1,050 miles
1,050 miles

2,250 miles

1 answer

To determine how far the truck can drive with 7 gallons of gasoline, we first need to find the truck's efficiency in miles per gallon (mpg).

The truck drives 150 miles using 15 gallons of gasoline, so we can calculate the miles per gallon as follows:

\[ \text{Miles per Gallon} = \frac{\text{Total Miles}}{\text{Total Gallons}} = \frac{150 \text{ miles}}{15 \text{ gallons}} = 10 \text{ miles per gallon} \]

Now that we know the truck drives 10 miles for every gallon of gasoline, we can calculate how far it could drive with 7 gallons:

\[ \text{Distance} = \text{Miles per Gallon} \times \text{Number of Gallons} = 10 \text{ miles per gallon} \times 7 \text{ gallons} = 70 \text{ miles} \]

The truck could drive 70 miles with 7 gallons of gasoline.

So, the correct answer is:

70 miles.