Trent read a total of 45 books over 15 months. After belonging to the book club for 16 months, how many books will Trent have read in all? Assume the relationship is directly proportional.

18

Step-by-step explanation:

45/15= 3 books per month

j add 3 to 15 for the next month

or

3*16=18

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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.