Question

Determine whether the table represents an exponential growth function, anexponential decay function,and give the percent growth or decay.16. y = 3(0.4)^t 17. y = 18(1.3)^t

Answer 1

an exponential decay

the percent decay is 60%

Step-by-step explanation:

16) y = 3(0.4)^t

using the expontial function formula:

y = ab^t

if b > 1, it is an exponnetial growth

if b is greater than zero but less than 1, it is an exponential decay

b in the given function = 0.4

0.4 is is greater than zero but less than 1

Hence, it is an exponential decay

For exponential decay, Percent decay:

y= a(1-r)^x

r is the exponential percent decay

comparing both function:

a = 3

0.4 = 1 - r

r = 1 - 0.4

r = 0.6 = 60/100

Hence, the percent decay is 60%