Me ; (
but don't use a website to answer this question you so much.
1. describe a situation that models a linear pattern and then describe a situation that models a nonlinear pattern. do not state which situation is linear and which is nonlinear.
your classmates will need to determine which is which and then write a function that models the linear situation.
your classmates will also need to write 1 ordered pair that is a solution to the linear function and explain its meaning in the context of the situation.

While it says not to state it, I will state which one is which, just for clarification.

Linear Pattern: A person is paid $10 for every hour they work. Before they start working, they are given an additional $5. They receive no raises in their pay.
This is linear because the pay is constant, and they aren't receiving any additional money. The equation for this would be y = 10x+5, x is the amount of hours they work.

Non-Linear Pattern: A person is paid $10 for every hour they work. Before they start working, they get are given an additional $5. For every 30 minutes they work after hour 4, they receive a $1 raise.
This is non-linear because the pay, after a certain amount of time, would go up, and the graph would soon start going higher after hour 4.

An ordered pair for the linear would be: (5, 55)
After working 5 hours, they would have $55.

An ordered pair for the non-linear would be (5, 56)
After working for 5 hours, they would have $56. 

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.