Giselle pays $210 in advance on her account at the athletic club. each time she uses the club, $15 is deducted from the account. model the situation with a linear function.

a. b = 210 - 15x

b. b = 210 + 15x

c. b = 195 - 15x

d. b = 195 + 15x

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.