Use math to justify your answer in the space provided.
1. Calculator Allowed
Part A: Diane owns a store that sells computers. Her profit, in dollars, is represented by the function
where x is the number of computers sold.
Diane hopes to make a profit of at least $10,000 by the time she sells 36 computers. Will she?
Part B: Diane states that there are three possible values of x for which she will have a profit of $0. Use your graphing calculator to find the values of x that produce a zero profit to show whether Diane is correct or not.
Justify your reasoning. Enter your your justification in the space provided.