Question

Solving proportional relationships. 1) Pamela drove her car 234 miles and used 9 gallons of fuel. She wants to know how many miles she can drive with 30 gallons of fuel. She assumes the relationship between miles and fuel is proportional.​

Answer 1

`780\text{ miles}`

Explanation:

Since Pamela's car's MPG (miles-per-gallon) is maintained, we can set up the following proportion:

`(234)/(9)=(x)/(30)`, where
`x` is the number of miles she can drive with 30 gallons of fuel.

Multiply both sides by 30:

`x=(234\cdot 30)/(9),\\x=\boxed{780\text{ miles}}`

Therefore, Pamela can drive 780 miles with 30 gallons of fuel.