Question

If two centimeters on a map represents 22 miles, which is the best estimate of the number miles represented by 6.8 centimeters on the map?

A.88
B.77
C.66
D.55

Answer 1

Using proportion, 6.8 centimeters on a map, where 2 centimeters represent 22 miles, is approximately 77 miles, making option B the best estimate.

Step-by-step explanation:

If two centimeters on a map represents 22 miles, the number of miles represented by 6.8 centimeters on the map can be calculated using proportion. To set up the proportion, we can write it as 2 cm / 22 miles = 6.8 cm / x miles, where x represents the unknown number of miles. Solving for x, we multiply 22 miles by 6.8 cm and then divide by 2 cm.

Calculation: (22 miles * 6.8 cm) / 2 cm = 149.6 miles / 2 = 74.8 miles.

The closest estimate to 74.8 miles is 77 miles, making option B the best estimate.