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Traveling at an average rate of between 60 and 70 miles per hour for 3 to 4 hours, select the best estimate for the distance traveled. a. 90 miles b. 190 miles c. 225 miles d. 275 miles

Short Answer

Expert verified
The best estimate for the distance traveled is 225 miles.

Step by step solution

01

Calculate the minimum distance

Apply the formula with the minimum values for speed (60 miles per hour) and time (3 hours): \( Distance = 60 \times 3 = 180 \) miles.
02

Calculate the maximum distance

Apply the formula with the maximum values for speed (70 miles per hour) and time (4 hours): \( Distance = 70 \times 4 = 280 \) miles.
03

Find a value in the range of calculated distances

Given Option a. 90 miles, Option b. 190 miles, Option c. 225 miles, Option d. 275 miles, only 190 miles and 275 miles fall within the calculated range of 180 to 280 miles.
04

Select the best estimate

Considering that these are average speeds and times, the distance is more likely to be nearer the mean of the calculated range (230 miles) between 190 and 275 miles, hence the best estimate is 225 miles.

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