Paul joins a gym that has an initial membership fee of $75 and a monthly cost of $40. How much will they have paid after 4 months? *

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

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.