Final answer:
To find the actual distance between Toms City and his cousin's town, we first converted the total measurement to inches, getting 15 inches. Then, we used the map scale of 1 inch equals 10 miles to calculate that the actual distance is 150 miles.
Step-by-step explanation:
The student's question involves converting a measured distance on a map to an actual distance using a given map scale.
The map scale provided is 1 inch equals 10 miles, and the distance between Toms City and his cousin's town is 1 foot 3 inches on the map.
First, we need to convert the measurement in feet and inches to inches only. Since 1 foot equals 12 inches,
we can calculate: 1 foot 3 inches
= 12 inches + 3 inches
= 15 inches.
Now, using the scale, we convert 15 inches to actual miles. 1 inch is to 10 miles as 15 inches is to x miles, where x is the actual distance.
Multiplying 15 inches by 10 miles per inch gives us the actual distance: 15 inches * 10 miles/inch
= 150 miles.