Question

Q2

The function R(t) = 50e -0.013t
models the number
of grams in a sample of radium after t years. On which
interval is the sample's average rate of decay the
slowest?
[0, 5]
[10, 20]
[25, 30]
[25,35]

Answer 1

The interval [25, 35] has the slowest average rate of decay.

Explanation:

The number of grams in a sample of radium is represented by the function
`r(t) = 50\cdot e^(-0.013\cdot t)`, which is a monotonous decreasing function. Hence, the greater the values of
`t`, the slowest the average rate of decay, represented by a secant line. The interval [25, 35] has the slowest average rate of decay.