Answer:
1596 miles
Step-by-step explanation:
A suitable proportion can be ...
[tex]\dfrac{\text{miles}}{\text{hours}}=\dfrac{M}{14\text{ h}}=\dfrac{342\text{ mi}}{3\text{ h}}\\\\M=\dfrac{14\cdot 342}{3}\text{ mi}=1596\text{ mi}[/tex]
We solved it by multiplying both sides by 14 hours. The units of hours cancel, leaving units of miles.
Michelle's car can travel 1596 miles in 14 hours.