Question

A local charity is selling seats to a baseball game. Seats cost $24 each, and snacks cost an additional $6

each. The charity needs to raise $240 to consider this event a success.
Use the graph to approximate how many snacks the charity must sell if 5 seats are sold. 24s + 6y = 240​

Answer 1

To raise exactly $240, the charity needs to sell 20 snacks.

Explanation:

Let

s = number of seats sold

y = number of snacks sold

Seats cost $24 each, then s seats cost $24s.

Snacks cost an additional $6 each, then y snacks cost $6y.

In total, s seats and y snacks cost $(24s+6y).

The charity needs to raise $240 to consider this event a success, so

`24s+6y=240`

If 5 seats are sold, then

`24\cdot 5+6y=240\\ \\120+6y=240\\ \\6y=240-120\\ \\6y=120\\ \\y=20`

To raise exactly $240, the charity needs to sell 20 snacks.

To solve this problem graphically, plot the graph of the line
`24s+6y=240` and find on this line point with s-coordinate 5. This is exactly point (5,20), so the charity needs to sell 20 snacks.