What is the elapsed time between 10: 30 p. m. and 1: 15 a. m.?
3 hours
3 hours and 15 minutes
2 hours and 45 minutes
2 hours and 30 minutes

If you would like to find the elapsed time between 10:30 p.m. and 1:15 a.m., you can calculate this using the following steps:

12:00 p.m. - 10:30 p.m. = 1:30
00:00 a.m. + 1:15 a.m. = 1:15

1:30 + 1:15 = 2:45 = 2 hours and 45 minutes

The correct result would be 2 hours and 45 minutes.

Ummm ok. for informing us

Answer

1 number

explanation

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

 

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.