Question

Helppp. y=7(12/17)^x without graphing determine wether the function represents exponential growth or exponential decay. Explain how you know.

Answer 1

well look at the base of the exponent

12/17 as you raise the power... it will get smaller...

so for example

x = 0: (12/17)^0 = 1

x =1: (12/17)^1 = 12/17

x = 2: (12/17)^2 = 144/289

so the value decreases

and the function is exponential... the base is 12/17

hope it helps

Answer 2

@campbell_st Hey thanks! so basically it would be an exponential growth because 12/17>1 correct?

Answer 3

No, it would be an exponential decay because 12/17<1.

Answer 4

well no... since the base is 12/17 its a decay model... \


you need to know

growth models have a base > 1 or < -1

compound interest (1 + r/100)^n always bigger than 1

for decay the base is

-1 < base < 1

hope it helps

Answer 5

the exponent function you're studying is defined as f(x) = a(b)^x, where a ≠ 0, and b > 0

since a > 0, and 0 < b < 1, it's a decay function

Answer 6

@sourwing @campbell_st @dajakesta Thank youuu guys :) i understand- i was so confused with the whole decay and exponential shenanigans. Thanks