Answer: 8 hours
Step-by-step explanation:
1. Set up a proportion to help guide your thinking.
[tex]\frac{638miles}{11hours}=\frac{464miles}{xhours}[/tex]
We're trying to solve for [tex]x[/tex] to find out how long it took Melissa to drive 464 miles.
2. Solve the proportion by cross-multiplying.
[tex](\frac{638}{11}=\frac{464}{x})=(638x=5104)[/tex]
3. Divide each side by 638 to get [tex]x[/tex] by itself.
[tex]\frac{638x}{638}=\frac{5104}{638}[/tex]
4. Simplify
[tex]x=8[/tex]
It took Melissa 8 hours to drive 464 miles.
