A carpool service has 2,000 daily riders. A one-way ticket costs $5.00. The service estimates that for each $1.00 increase to

Question

A carpool service has 2,000 daily riders. A one-way ticket costs $5.00. The service estimates that for each $1.00 increase to the one-way fare 100 passengers will find other means of transportation. Let x represent the number of $1.00 increases in ticket price. Choose the inequality to represent the values of x that would allow the carpool service to have revenue of at least $12,000. Then, use the inequality to select all the correct statements. 
The price of a one-way ticket that will maximize revenue is $7.50. 
100x^2 + 1,500x - 10,000 ≤ 12,000 
100x^2 - 1,500x - 10,000 ≥ 12,000
-100x^2 + 1,500x + 10,000 ≥ 12,000
The maximum profit the company can make is $15,625.00.
The maximum profit the company can make is $4,125.00. 
The price of a one-way ticket that will maximize revenue is $12.50.

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