Math Snap

STEP 1

Assumptions1. The scale of the map is1 inch equals16 miles.
. The distance on the map between the two cities is $\frac{3}{4}$ inches.

STEP 2

We need to convert the distance on the map to the actual distance. We can do this by multiplying the distance on the map by the scale of the map.
$$Actual\, distance = Distance\, on\, map \\times Scale\, of\, map$$

STEP 3

Now, plug in the given values for the distance on the map and the scale of the map to calculate the actual distance.
$$Actual\, distance =2 \frac{3}{} \, inches \\times16\, miles/inch$$

STEP 4

First, convert the mixed fraction to an improper fraction.
$$2 \frac{3}{4} = \frac{11}{4}$$$$Actual\, distance = \frac{11}{4} \, inches \\times16\, miles/inch$$

Calculate the actual distance.
$$Actual\, distance = \frac{11}{4} \, inches \\times16\, miles/inch =44\, miles$$The cities are44 miles apart.