11. You want to improve your swimming skills over the summer. You have budgeted at most $100 to do this. At the local pool, it costs $50 to join and $3 for each swim class. Write an inequality
to find the possible number of swim classes x you can attend within your budget.

the answer is c. 23/3

72 is the answer to this problem

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.