t(t) models the temperature (in degrees celsius) in windhoek, namibia when its t hours after midnight on a…

t(t) models the temperature (in degrees celsius) in windhoek, namibia when its t hours after midnight on a given day. when did the temperature increase faster? choose 1 answer: between 6 am and 9 am between 9 am and 1 pm the temperature increased at the same rate over both intervals

t(t) models the temperature (in degrees celsius) in windhoek, namibia when its t hours after midnight on a given day. when did the temperature increase faster? choose 1 answer: between 6 am and 9 am between 9 am and 1 pm the temperature increased at the same rate over both intervals

Answer

Explanation:

Step1: Calculate the rate of temperature increase between 6 am and 9 am

The formula for the average rate of change is (\frac{T(t_2)-T(t_1)}{t_2 - t_1}). Here, (t_1 = 6), (T(t_1)=19), (t_2 = 9), (T(t_2)=25). [ \frac{25 - 19}{9 - 6}=\frac{6}{3}=2 ]

Step2: Calculate the rate of temperature increase between 9 am and 1 pm

1 pm is (t = 13). Using the formula (\frac{T(t_2)-T(t_1)}{t_2 - t_1}), with (t_1 = 9), (T(t_1)=25), (t_2 = 13), (T(t_2)=31) [ \frac{31 - 25}{13 - 9}=\frac{6}{4}=1.5 ]

Answer:

A. Between 6 am and 9 am