Question

Mark and Susan are both selling raffle tickets at a basketball tournament. The table shows the total number of raffle tickets Susan sold at different times of the day. Time Total Number of Raffle Tickets 10:00 A.M. 10 12:00 P.M. 30 2:00 P.M. uses the equation below to show the number of tickets,he has sold after h hours. t = 20h

A. The rate that Mark sells tickets is half the rate that Susan sells tickets. B. The rate that Mark sells tickets is double the rate that Susan sells tickets. C. The rate that Mark sells tickets is 10 times the rate that Susan sells tickets.
D. Mark and Susan sell tickets at the same rate.

Answer 1

Mark sells raffle tickets at double the rate of Susan. Susan sells 10 tickets per hour, while Mark sells 20 tickets per hour, according to the provided equation t = 20h.

Step-by-step explanation:

The problem involves determining the rate at which Mark sells raffle tickets compared to Susan. Based on the table provided, Susan's sales can be calculated at different times of the day. At 10:00 A.M., Susan sold 10 tickets, and by 12:00 P.M., she sold 30 tickets. Subtracting 10 from 30, we find that Susan sold 20 tickets in the 2-hour interval between 10:00 A.M. and 12:00 P.M., which means she sells tickets at a rate of 10 tickets per hour (20 tickets/2 hours).

Now, given Mark's equation t = 20h, where t represents the total number of tickets and h represents the hours, we see that Mark sells 20 tickets per hour. Comparing the rates, Mark sells twice as many tickets in the same amount of time since Susan sells 10 tickets per hour, and Mark sells 20 tickets per hour.

Therefore, the correct answer is B. The rate at which Mark sells tickets is double the rate at which Susan sells tickets.