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.
