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) = 9.8 ⋅ 1.03x
 
Exponential growth function; 103%
Exponential growth function; 0.03%
Exponential growth function; 3%
Exponential decay function; 103%

Answer 1

@Gabylovesyou

Answer 2

@Michele_Laino

Answer 3

I think its C not 100% sure

Answer 4

an exponential growth function is like below:
\[\huge y = A \cdot {B^x}\]
where \(B>1\)

Answer 5

and the percentage rate\(r\) of growth, is defined as follows:
\[\Large r = \frac{{y\left( {x + 1} \right) - y\left( x \right)}}{{y\left( x \right)}} = \frac{{A \cdot {B^{x + 1}} - A \cdot {B^x}}}{{A \cdot {B^x}}}=...?\]
please complete, furthermore, keep in mind that \(B=1.03\)

Answer 6

hi!!

Answer 7

it is \(f(x) = 9.8 ⋅ 1.03^x\) right?

Answer 8

correct

Answer 9

oh yeah, it is C
it is always C

Answer 10

is she correct? @Michele_Laino