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T(t) models the temperature (in degrees Celsius) in Windhoek, Namibia when it's t hours after midnight on a given day. Given the values T(6), T(19), T(9), T(25), T(13), T(31), when did the temperature increase faster?

A. Between 6 and 19 hours after midnight
B. Between 19 and 9 hours after midnight
C. Between 9 and 25 hours after midnight
D. Between 25 and 13 hours after midnight

User Oyabi
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1 Answer

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Final answer:

To determine when the temperature increased faster, compare the differences in temperature between the given values.

Step-by-step explanation:

To determine when the temperature increased faster, we need to compare the differences in temperature between the given values. The difference between T(19) and T(6) is T(19) - T(6), the difference between T(9) and T(19) is T(9) - T(19), the difference between T(25) and T(9) is T(25) - T(9), and the difference between T(13) and T(25) is T(13) - T(25). We can compare the absolute values of these differences to determine which is greater.

If the absolute value of the difference between T(19) and T(6) is greater than the absolute values of the other differences, then the temperature increased faster between 6 and 19 hours after midnight. If the absolute value of the difference between T(9) and T(19) is greater, then the temperature increased faster between 19 and 9 hours after midnight. If the absolute value of the difference between T(25) and T(9) is greater, then the temperature increased faster between 9 and 25 hours after midnight. And if the absolute value of the difference between T(13) and T(25) is greater, then the temperature increased faster between 25 and 13 hours after midnight.

By comparing the absolute values of the differences, we can determine which time period had a faster temperature increase.

User Bettie
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