Part IV$.$ Matching. $(3$ points each$).$ Assume marathons are on the horizontal axis and half marathons are on the vertical axis. Match the number on the left with the letter for the most correct graph on the right.

$16.$ John likes to run. He has the goal to run a marathon. He considers half marathons to be "half of a race" and not worth his time. He wants to run as many marathons as he can, but he gets no satisfaction out of completing half marathons.

$17.$ Jane likes to run as much as possible. Her satisfaction is determined by the number of miles she completes in competitions.

$18.$ Octavio likes to run, but likes variety and different challenges associated with both races. The first time he completes each race provides him significant satisfaction, but if he completes too many of the same race, he gets bored and looks to complete more of the other race.

$19.$ Jennifer likes to collect the completion medals that are given after completing the races. She loves to display them on her living room wall. One side of her living room wall is dedicated to half marathons and the other half to marathons. She is obsessed with symmetry and won't hang an additional medal from one race unless she is also able to hane one from the other.

$20.$ Giorgio has the goal to complete one marathon and one half marathon. He absolutely hates running, but for some reason he has these on his bucket list. Anything more than this bundle would reduce his satisfaction. However, even if he had to drop out of a race, he would still feel some satisfaction for having at least made an attempt.

Part V$.$ Graphing $(5$ points each$).$ Construct graphs using the information below. Make sure to label all relevant information.

Use the following information to answer questions $21$ and $22.$ Consider two goods: airline flights and everything else. All expenses are carried out using a credit card company offers flight rewards that are redeemable after $40,000$ points are achieved $($assume $40,000$ points is equal to $$40,000$ in purchases$).$ The credit card user pays no annual fee and pays no interest as long as they pay off the balance every month. Assume that credit card companies do not earn money from retailers, the scenarios below. Label all axes, constraints, and relevant points on each graph.

$****$please assist with matching the question # to the correct letter of graph.$****$