Math Problem Statement

how much would it cost to operate this car if gas costs $2.89 per gallon and you drive 300 miles

Solution

To calculate the cost of operating the car, we can use the relationship given in the original problem. The cost depends on the gas price per gallon and the distance driven.

Given:

  • Gas price: $2.89 per gallon
  • Distance: 300 miles

From the original problem, we know that the cost function is: C(distance,gas price)=total costC(\text{distance}, \text{gas price}) = \text{total cost}

To solve for the total cost: C(300,2.89)=Total CostC(300, 2.89) = \text{Total Cost}

Assumption:

Since the relationship between cost, distance, and gas price is likely linear, we can express the cost as: Total Cost=distance×gas price per gallon\text{Total Cost} = \text{distance} \times \text{gas price per gallon}

Substituting the given values: Total Cost=300×2.89\text{Total Cost} = 300 \times 2.89

Let's calculate that:

Total Cost=300×2.89=867\text{Total Cost} = 300 \times 2.89 = 867

Therefore, the total cost to operate the car for 300 miles at $2.89 per gallon is $867.

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Math Problem Analysis

Mathematical Concepts

Linear equations
Arithmetic operations

Formulas

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Theorems

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Suitable Grade Level

Grades 5-6