Honi is looking at a map with a scale of 14
in. = 20 miles. She measured the distance from Niceville to Live Oak as 2.5 in. She found the actual distance between Niceville and Live Oak by following these steps:
1. Multiply 2.5 in. by 20 miles to get 50 miles.
2. Divide 50 miles by 14 in. to get 3.57 miles.
Answer: The actual distance between Niceville and Live Oak is 3.57 miles.
To find the actual distance between Niceville and Live Oak using the given map scale, Honi can follow these steps:
Step 1: Calculate the scale factor
The scale given is 14 in. = 20 miles. We need to find how many miles are represented by each inch on the map. To do this, divide 20 miles (the distance represented by 14 inches) by 14 inches.
Scale factor = 20 miles / 14 inches
Step 2: Calculate the actual distance
Now that we have the scale factor, we can use it to find the actual distance between Niceville and Live Oak. Given that Honi measured a distance of 2.5 inches on the map, we can multiply this by the scale factor.
Actual distance = 2.5 inches * scale factor
By following these steps, Honi can find the actual distance between Niceville and Live Oak using the provided map scale of 14 in. = 20 miles.
To find the actual distance between Niceville and Live Oak using the given map scale, follow these steps:
Step 1: Determine the scale conversion factor.
The scale of the map is 14 in. = 20 miles. This means that for every 14 inches on the map, the actual distance is 20 miles. To find the conversion factor, divide 20 by 14:
Conversion factor = 20 miles / 14 in.
Step 2: Calculate the actual distance using the measurement on the map.
Honi measured the distance from Niceville to Live Oak as 2.5 inches on the map. Multiply this measurement by the conversion factor from step 1 to find the actual distance:
Actual distance = 2.5 inches * Conversion factor
Step 3: Calculate the actual distance between Niceville and Live Oak.
Substitute the conversion factor value into the equation from step 2:
Actual distance = 2.5 inches * (20 miles / 14 in.)
Step 4: Simplify the equation and calculate the actual distance.
Divide 20 miles by 14 inches to simplify the equation:
Actual distance = 2.5 inches * (1.43 miles / 1 inch)
Multiply 2.5 inches by 1.43 miles to calculate the actual distance:
Actual distance = 3.575 miles.
Therefore, the actual distance between Niceville and Live Oak is 3.575 miles.