Matthew owns an arcade and hosts parties for large groups. He currently charges $250 per party and hosts an average of 25 parties each week. He noticed that for every $5 decrease in the price of a party, the number of parties he hosts increases by two each week.
Select the inequality that can be used to determine the number of price decreases, x, for which the total weekly income from parties is at least $9,000.
A.
(250 − 5x)(25 + 2x) ≤ 9,000
B.
(250 − x)(25 + x) ≤ 9,000
C.
(250 + 2x)(25 − 5x) ≥ 9,000
D.
(250 − 5x)(25 + 2x) ≥ 9,000