a dolphin swims 665,280 feet in 3 hours. use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. show your work.

part a: rearrange the distance formula, d = rt, to solve for rate.
part b: find the dolphin's rate in feet per hour.

part c: find the dolphin's rate in miles per hour.

part d: which unit, feet, or miles, makes more sense to use in this scenario, and why?

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.