Question

Write the rate of decay of the function as a percent.
f(t)=30(0.95)
`^(t)`

Answer 1

The rate of decay of the function f(t) = 30(0.95)^t is 5%.

Step-by-step explanation:

The rate of decay for the function f(t) = 30(0.95)t can be found by calculating the percentage decrease from the initial value to the value after one unit of time. In this case, the initial value is 30 and the value after one unit of time is 30(0.95) = 28.5. So, the rate of decay is the percentage decrease from 30 to 28.5.

To calculate the percentage decrease, we can use the formula:

Percentage Decrease = (Initial Value - Final Value) / Initial Value * 100%

Plugging in the values, we get:

Percentage Decrease = (30 - 28.5) / 30 * 100% = 1.5 / 30 * 100% = 5%

So, the rate of decay of the function f(t) = 30(0.95)t is 5%.