Question

A car travels 0.75 miles per minute. Explain how you could use proportional reasoning to find how far the car travels in one hour

Answer 1

Notice the proportions below.  Keep in mind that 1 hour is 60 minutes.

$\bf \begin{array}{ccll} miles&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 0.75&1\\ x&60 \end{array}\implies \cfrac{0.75}{x}=\cfrac{1}{60}\implies \cfrac{0.75\cdot 60}{1}=x\implies 45=x$