17
QuizMultiple Choice

Writing Linear Functions — Test

Question 17 • Algebraic Reasoning

A catering company uses a linear function to determine the total cost of parties. The following table shows the costs for dinner parties with varied numbers of guests. What is the cost to cater a dinner party with 90 guests? Guests Total Cost 30 315 dollars 60 555 dollars

Answer
A
795 dollars
B
945 dollars
C
870 dollars
D
720 dollars

Explanation

The cost increases by $555 − $315 = $240 when the guest count increases by 60 − 30 = 30, so the cost is $8 per additional guest. From 60 to 90 guests adds 30 guests, increasing the cost by $240; $555 + $240 = $795. The cost for 90 guests is $795.

AI-written and checked against the verified answer.

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