1. The drama club at South Medford High School sells hot chocolate and coffee at the school's football games. They sold $200 worth of hot drinks. They need to report how many of each type of drink they sold for club
records. Kari knows that they used 295 cups that night. If hot chocolate sells for $0.75 and coffee for $0.50,
how many of each type did they sell?

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.