A popular dance club allows 28 customers to enter per hour. The club has to keep their occupancy below 400 at any time during the day. Currently, the club has 204 customers. If none of the customers leave, how many more hours, x, can the club continue to accept new customers? Select the number line that includes the largest number of hours the club can continue to accept new customers without exceeding their occupancy.
We can find the number of hours the club can continue to accept new customers by finding how many more customers can enter the club before reaching the maximum occupancy of 400 customers.
The club currently has 204 customers, so it can accept a maximum of 400 - 204 = <<400-204=196>>196 more customers.
Since 28 customers can enter per hour, the club can continue to accept new customers for a maximum of 196 / 28 = <<196/28=7>>7 more hours.
Therefore, the correct number line is:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10