Question

Jenna is flying to visit her sister in another state. The first flight she takes is 120.5 miles and the second is 90.12 miles. Jenna estimates that the difference between the distances of the two flights is about 210 miles. Is her estimate reasonable? Explain.

Answer 1

Jenna's estimated difference between the two flight distances is not reasonable. The actual difference is 30.38 miles, which is much less than the 210 miles she estimated.

Step-by-step explanation:

The question asks whether Jenna's estimate of a 210-mile difference between two flight distances is reasonable. Jenna's first flight is 120.5 miles, and the second is 90.12 miles. To check the reasonableness of her estimate, we need to calculate the actual difference between these two distances.

We subtract the smaller distance from the larger one to find the difference:
120.5 miles - 90.12 miles = 30.38 miles.

The actual difference is 30.38 miles, which significantly differs from Jenna's estimated difference of 210 miles. Therefore, Jenna's estimate is not reasonable as it substantially overestimates the actual difference.