For a trip, one high school rented and filled 8 vans and 5 buses with 188 students. Another high school instead fit its 162 students into 2vans and 7 buses. With each bus and van seating the same number of students, how many students can a bus carry? How many can a van carry
bus and van seating the same number of students, how many students can a bus
carry? How many students can a van carry?

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.