Final answer:
After deducting the fixed cost of $18 from the total amount of $24 that Zachary can spend, we find that he can afford to invite 6 guests to his retirement party. The correct answer is (c) 6 guests.
Step-by-step explanation:
The question involves a basic algebra problem where we need to calculate the maximum number of guests that can be invited to Zachary's retirement party based on the total amount he can afford to spend.
Zachary's party has a fixed cost of $18, and each guest adds an additional $1 to the cost. We are given that Zachary can afford to spend a total of $24 on his party.
To find the maximum number of guests, we can set up the equation: 18 + 1 × number of guests = 24.
Subtracting the base cost ($18) from the total amount Zachary can spend ($24) gives us:
24 - 18 = 6
So, Zachary can afford to invite 6 guests to his party. The correct answer is (c) 6 guests.