NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Applications of Inverse Functions

## Interactive practice questions

The tax on a new tablet is $7%$7% of the advertised price, $A$A.

a

Write an equation to express the total cost $T$T as a function of the advertised price $A$A.

b

Using your answer from part (a), express the advertised price $A$A as a function of the total cost $T$T.

Easy
Approx 4 minutes

The function $t=\sqrt{\frac{d}{4.9}}$t=d4.9 can be used to find the number of seconds it takes for an object in Earth's atmosphere to fall $d$d metres.

The function $T=2\pi\sqrt{\frac{l}{9.8}}$T=2πl9.8 can be used to find the period $T$T of a simple pendulum of length $l$l metres.

The function $d=120-4.9t^2$d=1204.9t2 can be used to find the distance $d$d that an object dropped from a height of $120$120 metres has fallen after $t$t seconds.

### Outcomes

#### M8-2

Display and interpret the graphs of functions with the graphs of their inverse and/or reciprocal functions