6
lesson pretestMultiple Choice

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Question 6 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 8 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W approximately equal to negative 0 point 4 1 4 t plus 129 point 5 4 9 , where t is the number of minutes and cap w is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups?

Answer
A
170 minutes
B
180 minutes
C
160 minutes
D
150 minutes

Explanation

Set the equation’s water level equal to 64 cups to find when it reaches the half-full threshold: 64 = −0.414t + 129.549. Solving gives t ≈ 158.3 minutes; because the water level is decreasing, it will be at or below 64 cups after about 160 minutes. The correct choice is D, 160 minutes.

AI-written and checked against the verified answer.

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