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.​

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Answer:

[tex]780\text{ miles}[/tex]

Step-by-step explanation:

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

[tex]\frac{234}{9}=\frac{x}{30}[/tex], where [tex]x[/tex] is the number of miles she can drive with 30 gallons of fuel.

Multiply both sides by 30:

[tex]x=\frac{234\cdot 30}{9},\\x=\boxed{780\text{ miles}}[/tex]

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