We know the generator size x and the fuel consumption y are related by:
[tex]y=1.04+0.0647x[/tex]
To determine which size generator will use 15 gallons of fuel per hour we plug y=15 in the equation above and solve for x:
[tex]\begin{gathered} 15=1.04+0.0647x \\ 0.0647x=15-1.04 \\ x=\frac{13.96}{0.0647} \\ x=215.76 \end{gathered}[/tex]
Therefore, the generator size is approximately 215 kW
