Question

The waterpark has 5,000 spaces available for parking. No more than this number of cars can park in the lot. Of the parking spaces available, 100 of them are reserved for staff cars. In the morning when the waterpark opens for business, an average of 300 cars are parked each hour. If y represents the total number of parking spaces remaining in the lot, write an inequality that represents this scenario.

Answer 1

The inequality representing the total number of available parking spaces at the waterpark after a certain number of hours is y ≤ 5,000 - 100 - 300t, where y is the number of spaces remaining and t is the number of hours elapsed.

Step-by-step explanation:

To represent the scenario where the waterpark has 5,000 spaces available for parking, 100 of which are reserved for staff, and cars are parked at a rate of 300 per hour, we can write an inequality. With y representing the total number of parking spaces remaining in the lot, the inequality would be:

y ≤ 5,000 - 100 - 300t

where t is the number of hours that have passed since the waterpark opened. This inequality takes into account the 100 spaces reserved for staff and the average number of cars parked each hour.