Question

A booster club sells raffle tickets • Before tickets go on sale to the public, 120 tickets are sold to student athletes. • After tickets go on sale to the public, the tickets sell at a constant rate for a total of 8 hours spread over I days. • At the end of this time, all tickets have been sold. If represents the hours since tickets go on sale to the public and represents the number of raffle tickets sold, which graph best represents the scenario?​

Answer 1

The scenario can be represented by a linear graph that shows the number of tickets sold over time.

Step-by-step explanation:

The scenario described can be represented by a linear graph.

Before tickets go on sale to the public, 120 tickets are sold to student athletes. This means that at hour 0, the number of tickets sold is 120.

After tickets go on sale to the public, the tickets sell at a constant rate for a total of 8 hours. This means that for every hour, a certain number of tickets are sold. The graph will show a straight line with a slope representing the rate of ticket sales.

At the end of the 8-hour period, all tickets have been sold. This means that at hour 8, the number of tickets sold is equal to the total number of tickets available.

Therefore, the graph that best represents the scenario is a linear graph with a starting point at (0, 120) and an ending point at (8, total number of tickets available).

Answer 2

The top graph.

Step by step:

Before the tickets go on sale, 120 tickets were already sold.

After that, the tickets sell at a constant rate for a total of 8 hours.

At the end of this time, all the tickets were sold (we have 0 tickets left)

If x (horizontal axis) represents the hours since tickets go on sale, and y (vertical axis) represents the number of raffle tickets sold.

Then, at x = 0, we should already see y = 120

Because we start with 120 tickets sold.

Then, as x increases, the number of tickets sold also should increase, until we get x = 8 hours, where y stops increasing because all tickets are already sold.

Then we should have an increasing line that stops increasing at x = 8 hours.

Then the correct option is the above graph, where we have:

An increasing line.

y = 120 in the vertical axis (y = 120 when x = 0)