Question

The starting and stopping point for Amir’s run this morning are 0.5 inch apart on the map. If each inch on the map represents 3 miles, how far did Amir run?

Answer 1

Amir ran 1.5 miles in the morning.

Answer 2

1.5 miles.

Explanation:

We have been given that starting and stopping point for Amir’s run this morning are 0.5 inch apart on the map. We are also told that each inch on the map represents 3 miles.

To find distance covered by Amir, we will use proportions as:

`\frac{\text{Actual distance}}{\text{Map distance}}=\frac{\text{3 miles}}{\text{1 inch}}`

`\frac{\text{Actual distance}}{\text{0.5 inch}}=\frac{\text{3 miles}}{\text{1 inch}}`

`\frac{\text{Actual distance}}{\text{0.5 inch}}*\text{0.5 inch}=\frac{\text{3 miles}}{\text{1 inch}}*\text{0.5 inch}`

`\text{Actual distance}=\text{3 miles}*0.5`

`\text{Actual distance}=\text{1.5 miles}`

Therefore, Amir ran a distance of 1.5 miles.