Let x be the price of each gallon of gas.
The total cost is the price per gallon multiplied by the number of gallons.
The equation to determine the price of each gallon of gas is 8.4 x = 23.94 .
The equation is 8.4 x = 23.94 .
Explanation
Problem Analysis Let x be the price of each gallon of gas. Evelyn bought 8.4 gallons of gas for $23.94. The total cost is the price per gallon multiplied by the number of gallons. Therefore, the equation to determine the price of each gallon of gas is 8.4 x = 23.94 .
Finding the Equation The equation that can be used to determine the price of each gallon of gas is 8.4 x = 23.94 .
Examples
If you are buying multiple items of the same price, this type of equation helps you determine the cost per item. For example, if you bought 5 books and the total cost was $50, you can use the equation 5 x = 50 to find the price of each book, where x is the price of each book. This is a fundamental concept in everyday shopping and budgeting.
The equation to determine the price of each gallon of gas that Evelyn bought is 8.4 x = 23.94 . This comes from setting the total cost equal to the price per gallon multiplied by the number of gallons. The chosen multiple-choice option is A: 8.4 x = 23.94 .
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