8
QuizMultiple Choice

Combining Functions

Question 8 • 26MATH_Recovery_Alg1B22

Lorenzo wants to know how much it will cost to rent tables and chairs for an event. He investigates renting tables and chairs and decides to use two different companies.Company A$4 per table (seats 4) and a $25 one-time delivery and pickup feeCompany B$2 per chair and a $15 one-time delivery and pickup feeEach table seats 4 people, so Lorenzo needs to rent 4 chairs for every table.x = number of tables Cost to rent tables from Company A: f(x) = 4x + 25Cost to rent chairs from Company B: g(x) = 2(4x) + 15 Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them?

Answer
A
12x
B
12x2 + 40
C
12x + 40
D
8x + 40

Explanation

Add the table-rental cost and chair-rental cost: f(x) + g(x) = (4x + 25) + (8x + 15). Combine like terms to get 12x + 40. The total cost is therefore 12x + 40, choice C.

AI-written and checked against the verified answer.

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