Kyra observed that 85% of the students at a library liked reading mystery stories. if 30 students at the library did not like reading mystery stories, the number of students at the library who liked mystery stories was (only put numeric values, no other symbols)

step-by-step explanation:

compare

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.