Question

Hey guys i need your help
without graphing, determine whether the function represents exponential growth or decay. y=3(1.04)^x
y=2(0.95)^x
y=2(5/3)^x


thanks

Answer 1

In general, exponential functions can be written in the form

\[\Large y = a*(b)^x\]

the term 'a' is the starting amount (when x = 0)

The b tells you if you have exponential growth or decay

If b < 1, then you have exponential decay
If b > 1, then you have exponential growth

Answer 2

so the equation y=3(1.04)^x would be decay?

Answer 3

what are a and b in the equation y=3(1.04)^x

Answer 4

a=3 and b=1.04

Answer 5

now look at the rules I posted for exponential decay and exponential growth

Answer 6

oh that's right thank you so much

Answer 7

you're welcome

Answer 8

just to make sure here what i got
y=3(1.04)^x would be decay
y=2(0.95)^x= would be growth
y=2(5/3)x= would be decay
if it's wrong can you corrected

Answer 9

you have it all backwards

Answer 10

if b = 1.04, then b > 1, so we have growth (not decay)

Answer 11

ops thank you very much