Quick questions on Exponential growth and decay applications (QCE Math Methods Unit 2)

2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is discrete growth factor form?

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y = A r^t

where: -

A

is the initial value at

t = 0

. -

r

is the per-time-unit multiplier. -

r > 1

for growth,

0 < r < 1

for decay.

What is continuous form?

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y = A e^{kt}

where: -

A

is initial value. -

k

is the continuous growth rate (

k > 0

growth,

k < 0

decay). - Used when growth is compounded continuously (continuously compounded interest, radioactive decay in mathematically clean form).

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