New Zealand
Level 7 - NCEA Level 2

# Finding Exponential Equations in Context

## Interactive practice questions

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

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.

### Outcomes

#### M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

#### 91257

Apply graphical methods in solving problems