Respuesta :
b. 34.6 gallons
Explanationto solver this we can use a rule of three
so
Step 1
Set the proportion
a) let x represents the fuel needed for a 763 mile trip
so
[tex]\begin{gathered} if \\ 22\text{ miles}\Rightarrow1\text{ gallon} \\ then \\ 763\text{ miles}\Rightarrow x\text{ gallons} \end{gathered}[/tex]as the ratio is the same , we can set a proportion
[tex]\begin{gathered} \frac{22\text{ miles}}{1\text{ gallon}}=\frac{762miles}{x\text{ gallons}} \\ 22=\frac{762}{x} \end{gathered}[/tex]Step 2
solve the equation
[tex]\begin{gathered} 22=\frac{762}{x} \\ Multiply\text{ both sides by x} \\ 22*x=\frac{762}{x}*x \\ 22x=762 \\ divide\text{ both sides by 22} \\ \frac{22x}{22}=\frac{762}{22} \\ x=34.63 \\ rounded \\ x=34.6 \end{gathered}[/tex]therefore, the answer is
b. 34.6 gallons
I hope this helps you
