Question

Let G represent the number of guests Finn invites to his retirement party.

The cost of the party, C, can be expressed as a function of the number of guests:
C(G) = 1 + G

Finn can afford to spend a total of $28 on his retirement party. We can set up an equation to find the maximum number of guests:
1 + G = 28

Now, you can solve this equation for G to find the maximum number of guests Finn can invite to his retirement party.

Answer 1

The cost function, C(G) = 1 + G, represents the total cost of Finn's retirement party in relation to the number of guests G. By setting up and solving the equation 1 + G = 28, we find that Finn can invite a maximum of 27 guests to stay within his budget of $28.

Step-by-step explanation:

The student's question involves solving a linear equation to determine the maximum number of guests Finn can invite to his retirement party within his budget. The cost function given is C(G) = 1 + G, which denotes the cost of the party with respect to the number of guests, G. Since Finn can afford to spend a maximum of $28 on the party, we set up the equation 1 + G = 28.

To solve for G, we simply subtract 1 from both sides of the equation:

1. 1 + G = 28
2. G = 28 - 1
3. G = 27

Therefore, the maximum number of guests Finn can invite is 27.