Exponentials

Hong Kong

Stage 4 - Stage 5

Consider the function $y=0.68\left(1.6\right)^x$`y`=0.68(1.6)`x`.

a

Identify what type of function this is:

Exponential growth

A

Exponential decay

B

b

What is the rate of growth?

Easy

Approx a minute

Consider the function $y=0.98\left(0.2\right)^x$`y`=0.98(0.2)`x`.

The local rat population numbers approximately $750$750 and is increasing at a rate of $3%$3% per year.

A large rectangular piece of paper is folded in half repeatedly. After every fold, the paper is reopened and the number of rectangles counted.

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