In the following exercises, solve the proportion problem....

In the following exercises, solve the proportion problem.
Jesse's car gets 30 miles per gallon of gas. If Las Vegas is 285 miles away, how many gallons of gas are needed to get there and then home? If gas is $\$ 3.09$ per gallon, what is the total cost of the gas for the trip?

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Key Concepts

Proportional Reasoning

Proportional reasoning involves understanding and applying the relationship between two ratios. It allows one to set up and solve equations based on the fact that if one quantity changes, the other changes in a constant ratio. In problems like this, the miles per gallon rate is used as a constant of proportionality to determine the amount of fuel needed based on distance.

Round Trip Calculation

Round trip calculation requires careful accounting of all parts of the journey by doubling the one-way distance. This ensures that the total distance used in any further calculations, such as fuel consumption, correctly reflects the entire journey rather than just a single leg.

Unit Conversion

Unit conversion is the process of converting one measurement unit to another using conversion factors. In this context, converting the total travel distance into the quantity of fuel needed involves using the fuel efficiency rate (miles per gallon) as the conversion factor, bridging the gap between different units.

Cost Calculation

Cost calculation involves multiplying the quantity of a resource by its unit price to determine the total expenditure. Here, after computing the total gallons of fuel needed, this figure is multiplied by the cost per gallon to arrive at the final cost of the trip.

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