Question

The sign shows a distance from the a rest stop to the exits for different towns along a straight section of highway. The state is planning to build a new exit to Glory at the midpoint for of the exits for Roseville and Edgewood. When the new exit is built what will be the distance from the exit for Midtown to the exit for Glory? Midtown 17 miles Roseville 35 miles Edgewood 59 miles Please explain the answer.

Answer 1

The exit for Glory will be located at the midpoint between Roseville and Edgewood. To find the distance from Midtown to Glory, calculate the midpoint (47 miles), then subtract the distance from Midtown (17 miles) to get 30 miles.

Step-by-step explanation:

The student is asking for the distance from Midtown to the future exit for Glory, which will be located at the midpoint between Roseville and Edgewood along a straight section of highway. To find this distance, we first need to calculate the midpoint between Roseville and Edgewood. The exit for Roseville is at 35 miles, and the exit for Edgewood is at 59 miles. The midpoint can be found by adding these two distances together and then dividing by 2:

Midpoint for Glory = (35 miles + 59 miles) / 2 = 94 miles / 2 = 47 miles.

Now that we know Glory will be at 47 miles, we can calculate the distance from Midtown to Glory by subtracting the distance from Midtown to the midpoint:

Distance from Midtown to Glory = 47 miles - 17 miles = 30 miles.

Therefore, the distance from the exit for Midtown to the exit for Glory will be 30 miles.