Donna opens a savings account with an initial balance of $50. She then deposits $25 each month. Use an equation, a table, and a graph to explain the relationship between the amount of money in the account, a, and the number of months since Donna opened the account, m. Part A Write an equation to represent the problem. Explain how the value of a changes as m increases. Part B Make a table to show the relationship between m and a. Find 5 ordered pairs. Part C Use your table from Part B to draw a graph to represent the situation.

Li buys supplies so he can make and sell key chains. he begins to make a profit only after he sells 4 key chains. what point on the graph makes the most sense in this situation?

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.

In a column proof the right column states your reasons