Question

. The members of a wheelchair basketball league are playing a benefit game to meet their fundraising goal of $900. Tickets cost $15 and snacks cost $6. ТУ a. Write a linear equation that describes the problem. 120 Snacks 80 40 b. Graph the linear equation. c. If the team sells 50 tickets, how many snacks does it need to sell to reach the goal? 0 40 Tickets​

Answer 1

The linear equation is 15x + 6y = 900. The team needs to sell 25 snacks if they sell 50 tickets to reach the fundraising goal.

Step-by-step explanation:

Linear Equation

The equation that describes the problem can be written as:

15x + 6y = 900

where x represents the number of tickets sold and y represents the number of snacks sold.

Graph

Graphing this equation will result in a line with x-intercept (0, 150) and y-intercept (60, 0).

Finding the Number of Snacks

To find the number of snacks needed to reach the goal, we can use the equation:

15x + 6y = 900

Substituting x = 50 (number of tickets sold), we can solve for y:

15(50) + 6y = 900

750 + 6y = 900

6y = 150

y = 25

Therefore, the team needs to sell 25 snacks to reach the goal.