NZ Level 7 (NZC) Level 2 (NCEA)
Solving for Constant of Proportionality in Power Functions

## Interactive practice questions

If $\left(4,512\right)$(4,512) is on the curve, $P=kQ^4$P=kQ4, solve for $k$k.

Easy
Approx 2 minutes

If $\left(10,15\right)$(10,15) is on the curve $P=\frac{k}{Q}$P=kQ, solve for $k$k.

A variable $M$M is directly proportional to the square of $N$N.

In exchange rate calculations the constant of proportionality is the exchange rate itself. Determine the exchange rate $k$k if I can purchase:

### 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