Question

You and your friends decide to go on a road tripfor spring break. The amount of miles the carcan travel varies directly with the gallons of gasyou use. You make it 600 miles and it cost you$54. Now you have another 300 miles to go.How much more money will the road trip cost?

Answer 1

81 dollars

Step-by-step explanation

you can easily solve this by using a rule of three

Step 1

Let x represents the cost for 900 miles ( the whole road trip)

if

`\begin{gathered} 54\text{ dollars}\Rightarrow600\text{ miles} \\ \text{then} \\ x\text{ dollars}\Rightarrow900\text{ miles} \end{gathered}`

as the proportion is the same

`\begin{gathered} (54)/(600)=(x)/(900) \\ \text{Multiply both sides by 900} \\ (54)/(600)\cdot900=(x)/(900)\cdot900 \\ 81=x \end{gathered}`

I hope this helps you