Question

Nelson’s birthday party will be at the skating rink. The cost for each person is $ 25 . The cost of the room for the party is $ 50 . The function C ( x ) = 25 x + 50 models the total cost, C , where x is the number of people at the party. What is the maximum number of people who can be at the party for a budget of $ 600 ?

Answer 1

Answer: x = 22

Explanation:

We need to use trial and error for this.

20 - 25 seems like a reasonable range to substitute x with.

C(20) = 25(20) + 50

C(20) = 500 + 50

C(20) = 550.

This means that 20 is not the answer. Let's try 21.

C(21) = 25(21) + 50

C(21) = 525 + 50

C(21) = 575.

This means that 21 is also not the answer. let's try 22.

C(22) = 25(22) + 50

C(22) = 550 + 50

C(22) = 600.

This means that 22 is the maximum number of people for a budget of $600.

x = 22

Answer 2

24 people

Explanation:

600 = 25x + 50 Subtract 50 from both sides of the equation

550 = 25x Divide both sides by 25

24 = x