Linear Functions

9000007810

Level: 
C
A fuel tank in a car has the capacity \(40\) litres. The current volume of the fuel in the fuel tank is \(6\) litres. The speed of fuelling is \(1\) litre of gasoline each \(3\) seconds. Find the function which describes the volume of the gasoline in the fuel tank (in litres) as a function of time (in seconds).
\(V = \frac{1} {3}t + 6,\ t\in [ 0,102] \)
\(V = 3t + 6,\ t\in [ 0,102] \)
\(V = 3t + 6,\ t\in [ 0,40] \)
\(V = 3t + 6,\ t\in \mathbb{R}_{0}^{+}\)
\(V = \frac{1} {3}t + 6,\ t\in [ 0,40] \)

9000007208

Level: 
C
Paul's home is \(6\, \mathrm{km}\) from the school. At the time \(t = 0\) Paul starts to walk from his home to the school along a straight street at a constant velocity \(5\, \mathrm{km}/\mathrm{h}\). Find the function which describes Paul's remaining distance to the school as a function of time.
\(s = 6 - 5t\)
\(s = 5t - 6\)
\(s = 5t\)
\(s = 5t + 6\)

9000007808

Level: 
B
Given a function \(f(x) = \frac{x} {3} + 1\), find the function \(g\) such that the graph of \(g\) is symmetric with the graph of \(f\) about the \(y\)-axis.
\(g\colon y = -\frac{x} {3} + 1\)
\(g\colon y = 3x + 1\)
\(g\colon y = -3x + 1\)
\(g\colon y = -\frac{x} {3} - 1\)
Such a function does not exist.