A map has a scale of 1 inch to 64 miles. If the distance from Sacramento to Santa Cruz is 2.3 inches long on the map, what is the actual distance in miles? (Round to the nearest mile)

Question

66 miles

28 miles

147 miles

128 miles

Answer 1

To find the actual distance using the map scale of 1 inch to 64 miles, you can follow these steps:

1. Multiply the length on the map (in inches) by the scale factor (in miles).

Given the distance from Sacramento to Santa Cruz is 2.3 inches on the map:

\[ \text{Actual Distance} = \text{Distance on map} \times \text{Scale factor} \] \[ \text{Actual Distance} = 2.3 , \text{inches} \times 64 , \text{miles per inch} \] \[ \text{Actual Distance} = 147.2 , \text{miles} \]

Now, rounding 147.2 to the nearest mile gives us:

\[ \text{Actual Distance} \approx 147 , \text{miles} \]

Therefore, the actual distance from Sacramento to Santa Cruz is approximately 147 miles.