Year 11 Maths - Methods Functions, relations and transformations

Applying Function Notation

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Questions

Question 1

28531

The value of a photocopier \(t\) years after purchase is given by \(V\left( t \right) = 8000 - 800t\) dollars. Find \(t\) when \(V\left( t \right) = 5600\)

Answer

3 years

Worked Solution

\begin{align}
&\begin{aligned}
V(t)&=8000-800t\\
5600&=8000-800 t\\
\end{aligned}\\
&\begin{aligned}
800t+5600&=8000\\
800t&=8000-5600\\
800 t&=2400\\
t&=2400 \div 800\\
t&=3 \text{ years}
\end{aligned}
\end{align}

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