Solve the problem.A biologist controls the humidity H (as a percentage) inside a terrarium. From an initial humidity level of 0%, she allows the humidity in the terrarium to increase by 1% per hour for the next 6 hours. After the 6th hour, she allows the terrarium to dry out (lose humidity) at the rate of 5% per hour. The humidity function H is defined byH(t) = Find k such that H is continuous at t = 24. Then explain why H must be continuous at t = 6 hours.

A. k = 36; H must be continuous at t = 6 hours because the humidity level changes continuously.
B. k = 24; H must be continuous at t = 6 hours because the humidity level changes continuously.
C. k = 174; H must be continuous at t = 6 hours because time changes continuously.
D. k = 186; H must be continuous at t = 6 hours because time changes continuously.


Answer: A

Mathematics

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