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

In the following exercises, solve the proportion problem. Danny wants to drive to Phoenix to see his grandfather. Phoenix is 370 miles from Danny's home and his car gets 18.5 miles per gallon. How many gallons of gas will Danny need to get to and from Phoenix? If gas is $\$ 3.19$ per gallon, what is the total cost for the gas to drive to see his grandfather?

In the following exercises, solve the proportion problem.
Danny wants to drive to Phoenix to see his grandfather. Phoenix is 370 miles from Danny's home and his car gets 18.5 miles per gallon. How many gallons of gas will Danny need to get to and from Phoenix? If gas is $\$ 3.19$ per gallon, what is the total cost for the gas to drive to see his grandfather?

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Key Concepts

Proportional Reasoning

Proportional reasoning involves understanding and using the constant ratio relationship between two quantities. In problems where a unit rate such as miles per gallon is given, proportional reasoning allows for calculating the total amount needed by scaling the known ratio to a different quantity, such as total distance traveled.

Unit Rates

A unit rate is a comparison of two different quantities where one of the quantities is reduced to a single unit. In the context of fuel consumption, the unit rate (miles per gallon) indicates how many miles can be driven per one gallon of fuel, enabling the calculation of fuel requirements over any given distance.

Cost Calculation

Cost calculation involves multiplying the quantity of a resource used by the unit price of that resource. When the total number of gallons required is determined, this figure is multiplied by the price per gallon to find the overall cost, illustrating how unit rates can be applied in budgeting and financial estimations.

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