Q8. - Algebra 1

Question

MAPS On a map of North Carolina, Raleigh and Asheville are about 8 inches apart. If the scale is 1 inch = 12 miles, how far apart are the cities?

Step-by-Step Solution

Answer

The distance between the cities is $n=96 \text{miles}$.

Step-1. Write down the given scale.

The given scale is:

1 inch = 12 miles.

Step-2. Evaluate the distance by time-speed-distance formula.

Let the distance be n miles.

As, $\text{Speed = }\frac{\text{Distance}}{\text{Time}}$ therefore, the proportion can be written as:

The proportion can be written as:

$$\begin{gathered} \frac{1}{12}=\frac{8}{n} \\ n\left(1\right)=8\left(12\right) \\ n=96 \text{miles} \end{gathered}$$

Step-3. Conclusion from the evaluated distance.

The distance between the cities is $n=96 \text{miles}$.