Question

a function is shown below: f(x) = (0.93)x what does the function represent? (5 points) exponential growth of 7% exponential decay of 7% exponential growth of 93% exponential decay of 93%

Answer 1

Exponential decay of 7%

Answer 2

Answer:

Correct choice is exponential decay of 7%

Step-by-step explanation:

The function that represents exponential growth can be written as $y=a\cdot (1+r)^x,$ where r is the rate of growth (as decimal).

The function that represents exponential decay can be written as $y=a\cdot (1-r)^x,$ where r is the rate of decay (as decimal).

In your case, the expression for the function is

$y=(0.93)^x=(1-0.07)^x.$

Therefore, it represents the exponential decay at the rate of 7% (0.07=7%).