Question
A map has a scale of 1 inch to 52 miles. The distance from Sacramento to Santa Cruz is 2.83 inches on this map.
What is the actual distance in miles? Round to the nearest mile.
18 miles
104 miles
79 miles
147 miles
What is the actual distance in miles? Round to the nearest mile.
18 miles
104 miles
79 miles
147 miles
Answers
GPT-4o mini
To find the actual distance in miles, use the scale of the map. The scale indicates that 1 inch on the map represents 52 miles in reality.
The distance from Sacramento to Santa Cruz on the map is 2.83 inches. To convert this to actual miles, multiply the map distance by the scale factor:
\[
\text{Actual distance} = \text{map distance} \times \text{scale factor}
\]
\[
\text{Actual distance} = 2.83 \, \text{inches} \times 52 \, \text{miles/inch}
\]
\[
\text{Actual distance} = 147.16 \, \text{miles}
\]
Now, rounding to the nearest mile gives:
\[
\text{Actual distance} \approx 147 \, \text{miles}
\]
Therefore, the actual distance from Sacramento to Santa Cruz is approximately **147 miles**.
The distance from Sacramento to Santa Cruz on the map is 2.83 inches. To convert this to actual miles, multiply the map distance by the scale factor:
\[
\text{Actual distance} = \text{map distance} \times \text{scale factor}
\]
\[
\text{Actual distance} = 2.83 \, \text{inches} \times 52 \, \text{miles/inch}
\]
\[
\text{Actual distance} = 147.16 \, \text{miles}
\]
Now, rounding to the nearest mile gives:
\[
\text{Actual distance} \approx 147 \, \text{miles}
\]
Therefore, the actual distance from Sacramento to Santa Cruz is approximately **147 miles**.