Which statement is consistent with the cooling data provided?

Which statement is consistent with the cooling data provided?

• A. A 50,000 heat unit cooling takes 5 minutes
• B. A 150,000 heat unit cooling takes 10 minutes
• C. A 50,000 heat unit cooling takes 2 minutes
• D. A 150,000 heat unit cooling takes 5 minutes

Answer: (A)

Cooling data here show a constant rate: the time required to remove heat scales with the amount of heat being removed. If you divide the heat removed by the time, you get a steady rate. From the data, removing 50,000 heat units takes 5 minutes. That gives a rate of 50,000 / 5 = 10,000 heat units per minute. With a constant rate, removing 150,000 heat units would take 150,000 / 10,000 = 15 minutes, not 10 minutes. The options stating 150,000 heat units in 10 minutes or other times would require a different rate than what the data show. Therefore, the statement that 50,000 heat units cooling takes 5 minutes is the one that matches the observed, steady-rate cooling behavior.

Cooling data here show a constant rate: the time required to remove heat scales with the amount of heat being removed. If you divide the heat removed by the time, you get a steady rate.

From the data, removing 50,000 heat units takes 5 minutes. That gives a rate of 50,000 / 5 = 10,000 heat units per minute. With a constant rate, removing 150,000 heat units would take 150,000 / 10,000 = 15 minutes, not 10 minutes. The options stating 150,000 heat units in 10 minutes or other times would require a different rate than what the data show. Therefore, the statement that 50,000 heat units cooling takes 5 minutes is the one that matches the observed, steady-rate cooling behavior.