Question

Decide whether the function is an exponential growth or exponential decay function and find the constant percentage rate of growth or decay.
f(x) = 2.9 ⋅ 1.02x

Exponential growth function; 2%

Exponential growth function; 0.02%

Exponential growth function; 102%

Exponential decay function; 102%

Answer 1

*1.02^x

Answer 2

\[\Large f(x) = a^x \]is exponential growth if a>1, decay is 0<a<1

Answer 3

so it's a growth?

Answer 4

Yep, now you just have to find the percentage rate.

If you subtract 1 from the a (which is 1.02), you'll have the rate, in decimal form. Convert it to a percentage.

Answer 5

2%

Answer 6

Excellent.

Answer 7

okay i have one more

Answer 8

Okay. Post it as a new question