Membership costs for belonging to a gym for a certain number of months are shown in the table below. Part A:
Write an equation to represent the relationship between the cost, C, in dollars, and the number of months, m, of belonging to the gym. Explain how you determined your answer.

Part B:
What is the cost of belonging to the gym for two years?

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.