For each problem, use meaningful variables to write a linear function to model the situation. Then interpret the slope and y-intercept in words. Identify which variable would be on the horizontal axis and which one would be on the vertical axis. a) Model the cost if you buy an iPod for $200 and download songs for $1.29 each.

b) Model the weekly salary a salesman earns if his salary is a combination of his base salary and commissions on his sales. His base weekly salary is $500 and he makes $50 for each sale.

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.