Question

6 anna is looking at a map of her city. on the map, 1 inch equals 5 miles. if the distance on the map between annas home and the shopping mall is 3.4 inches, how far is it for her to go to the mall and then return home?
34 miles
30 miles
9.4 miles
17 miles

Explanation:

Step1: Find one - way distance

We know that on the map, 1 inch represents 5 miles, and the map distance between Anna's home and the mall is 3.4 inches. To find the actual one - way distance, we use the conversion factor. The formula for the actual distance \(d_{one - way}\) is \(d_{one - way}=\text{map distance}\times\text{scale factor}\). So, \(d_{one - way}=3.4\times5\) miles.
Calculating \(3.4\times5 = 17\) miles. This is the distance from her home to the mall.

Step2: Find round - trip distance

To find the distance to go to the mall and then return home, we need to calculate the round - trip distance. The round - trip distance \(d_{round - trip}\) is twice the one - way distance. So, \(d_{round - trip}=2\times d_{one - way}\).
Substituting \(d_{one - way} = 17\) miles, we get \(d_{round - trip}=2\times17=34\) miles.

Answer:

34 miles