Peter has a part time job in factory and he can work 6 1/2 hours a day while his friend Joseph can work 1 2/3 hours more than Peter. how many hours can Joseph work more than Peter?

Given parameters:

Number of hours worked by Peter = 6.5hrs

His friend Joseph works hours more than Peter;

Unknown:

Number of hours Joseph can work more than Peter = ?

This problem is pretty straight forward.

We see from the given parameters, it was explicitly stated that Joseph, the friend of Peter works more hours .

Therefore, Peter's friend worked more hours.

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.