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2.07 Modelling with hyperbolas

Interactive practice questions

The density ($D$D) of an object is the mass ($m$m) per unit volume ($V$V). That is, $D=\frac{m}{V}$D=mV.

A metal rod has fixed mass of $12$12 kg and variable volume and density due to the thermal expansion from the sun.

a

Find the density of the metal rod with volume $0.2$0.2 m3 in kg/m3.

b

Find the density of the metal rod with volume $0.625$0.625 m3 in kg/m3.

Easy
1min

The population density ($D$D) of a species is the number of organisms ($n$n) per unit area ($A$A km2). That is, $D=\frac{n}{A}$D=nA.

A species has a population of $27397$27397.

Easy
1min

The pressure ($P$P kPa) and volume ($V$V cm3) of a gas at a certain temperature are related by the equation $PV=87.73$PV=87.73.

Easy
3min

Hiring a bus costs $\$950$$950 regardless of the number of passengers.

Easy
1min
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Outcomes

MS2-12-1

uses detailed algebraic and graphical techniques to critically evaluate and construct arguments in a range of familiar and unfamiliar contexts

MS2-12-6

solves problems by representing the relationships between changing quantities in algebraic and graphical forms

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