Questions: The scale on a map is 1 inch = 50 miles. Brockton, MA is 2.8 inches from Portland, ME on the map. What is the actual distance, in miles, between Brockton, MA and Portland, ME? Enter only your numerical answer miles.

The scale on a map is 1 inch = 50 miles. Brockton, MA is 2.8 inches from Portland, ME on the map. What is the actual distance, in miles, between Brockton, MA and Portland, ME? Enter only your numerical answer miles.

Transcript text: GRADE 7 MATH MODULE 1 2024-2025/3 OF 16 The scale on a map is 1 inch $=50$ miles. Brockton, MA is 2.8 inches from Portland, ME on the map. What is the actual distance, in miles, between Brockton, MA and Portland, ME? Enter only your numerical answer $\square$ miles

Solution

Solution Steps

To find the actual distance between Brockton, MA and Portland, ME, we need to use the scale provided on the map. The scale is 1 inch = 50 miles. Given that the distance on the map is 2.8 inches, we can calculate the actual distance by multiplying the map distance by the scale factor.

Step 1: Identify the Scale

The scale on the map is given as $ 1 \text{ inch} = 50 \text{ miles} $.

Step 2: Determine the Map Distance

The distance between Brockton, MA and Portland, ME on the map is $ 2.8 \text{ inches} $.

Step 3: Calculate the Actual Distance

To find the actual distance $ D $ in miles, we use the formula: \[ D = \text{map distance} \times \text{scale} \] Substituting the known values: \[ D = 2.8 \text{ inches} \times 50 \text{ miles/inch} = 140 \text{ miles} \]