What functions above are models an exponential Growth?

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1 Answer
Shwetank Mauria
Dec 18, 2017

While #A=20,000(1.08)^t#; #P=1700(1.07)^t# and #A=40(3)^t# are cases of exponential growth
#A=80(1/2)^t#; #A=1600(0.8)^t# and #P=1700(0.93)^t# are cases of exponential decline.

Explanation:

When we have a function of the type #y=ka^x#,

if #a>1#, we have exponential growth

and if #a<1#, we have exponential decline.

As such #A=20,000(1.08)^t#; #P=1700(1.07)^t# and #A=40(3)^t# as cases of exponential growth

and #A=80(1/2)^t#; #A=1600(0.8)^t# and #P=1700(0.93)^t# as cases of exponential decline.

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