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Evelyn bought 8.4 gallons of gas for [tex] \$ 23.94 [/tex]. Which equation can be used to determine the price of each gallon of gas?

A. [tex] 8.4x = 23.94 [/tex]
B. [tex] \frac{x}{8.4} = 23.94 [/tex]
C. [tex] 23.94x = 8.4 [/tex]
D. [tex] \frac{x}{23.94} = 8.4 [/tex]

Sagot :

GinnyAnswer
To determine the price of each gallon of gas, let [tex]\( x \)[/tex] represent the price per gallon. We know Evelyn bought 8.4 gallons of gas for \[tex]$23.94. We need to find an equation that relates \( x \) to the total cost and the number of gallons. The total cost (\$[/tex]23.94) is obtained by multiplying the price per gallon ([tex]\( x \)[/tex]) by the number of gallons (8.4). Therefore, the correct equation that can be used to determine the price of each gallon of gas is:

[tex]\[ 8.4x = 23.94 \][/tex]

This equation directly relates the number of gallons Evelyn bought, the price per gallon, and the total cost. Solving this equation for [tex]\( x \)[/tex] would determine the price per gallon.

So, the correct equation to determine the price of each gallon of gas is:

[tex]\[ 8.4x = 23.94 \][/tex]

Thus, the first option, [tex]\( 8.4 x = 23.94 \)[/tex], is the correct equation.
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