Question

On a map, the length of a nature-center trail is 7.6 centimeters. If the scale is 2 centimeters to 33 kilometers, what is the actual length of the trail? Round to the nearest tenth when necessary.

Answer 1

124.1 kilometers

Explanation:

We can use the scale given in the problem to convert the trail length on the map from centimeters to kilometers.

According to the scale, 2 centimeters on the map represent 33 kilometers in real life.

So, we can set up a proportion to find the actual length of the trail:

2 cm : 33 km = 7.6 cm : x km

Where x is the actual length of the trail in kilometers.

To solve for x, we can cross-multiply the proportion and simplify:

2 * x = 33 * 7.6

x = (33 * 7.6) / 2

x = 124.1

Therefore, the actual length of the trail is approximately 124.1 kilometers (rounded to one decimal place).