Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly a

Question

olga55

1 month ago

9

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly a

t first, then decrease more slowly as time passes.What best describes thiz ?

Mathematics

1 answer:

PIT_PIT [12.4K] · Answer 1 · 2026-04-05T14:01:43+03:00

Response: An "exponential growth" demonstrates a pattern where growth starts slowly and accelerates over time.

"Logarithmic growth" behaves inversely; it initially shows rapid increase, followed by a deceleration.

In this context, we are considering decays: The decays represent the opposite of growths. An "logarithmic decay" begins slowly before speeding up, while an "exponential decay" quickly decreases at first and gradually slows afterward.

Thus, the equation modeling the temperature drop of the hot tea over time is an "exponential decay", described in the form T(x) = T₀ $e^{-kt}$ , where T₀ stands for the initial temperature, t is time, and k is a constant.