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

Answer:

Exponential growth function; 2%

Step-by-step explanation:

$f(x) = 2.9 (1.02)^x$

Exponential growth function is in the form of $f(x)= a(1+r)^t$

Exponential decay function is in the form of   $f(x)= a(1-r)^t$

Where 'r' is the exponential growth factor

To get % we multiply by 100

Exponential growth factor is $1+r= 1.02$, solve for r

Subtract 1 on both sides

$r= 0.02$

Multiply it by 100

$0.02 \cdot 100$=2%

Exponential growth function; 2%

Answer 2

Answer:

Exponential growth function; 102%

Step-by-step explanation: