Easton enjoys playing football at recess. he spends 1/4 of an hour at recess each day. how many hours does he spend at recess in a 5 day week?

Step-by-step explanation:

1/4 multiplied by the number of days in the week

1/4 * 5

1/4 * 5/1

5/4

1 1/4

1 number

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.