Dennis has a maximum of $80 that he can spend on books. He wants to buy a combination of nonfiction books which cost $12 each and fiction books which cost $8 each. To evaluate his decision, Dennis makes a graph with the number of nonfiction books bought on the x-axis and the number of fiction books
bought on the y-axis. He graphs a linear equation that models the fact that he has $80 to spend.
Which two ordered pairs represent points on the line that Dennis graphs?
(4,5)
(5,4)
(7.2)
(2,7)

( 2, 7 )

2 Nonfiction , 7 Fiction

Step-by-step explanation:

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.

well if he bought them at 5 cedis each sold them at 7 cedis each then he would make a profit of 2 cedis of each book. if in total he made 150 cedis profit that means he sold 75 books. he lost 12 books at the start so that means he originally bought a total of 82 books.

step-by-step explanation: