Linear Graphs and Its Applications - Linear Graphs in Real Life Problems

A parcel delivery company, QuickSend, charges according to the equation \(y=3+0.8x\) where \(x\) is the delivery distance in km and \(y\) is the delivery charge in dollars.
Some corresponding values are shown below.

1. Find the value of \(p\).

   [1]

2. On graph paper, draw the graph of \(y=3+0.8x\) for \(0\leq x\leq20\).

   [3]

3. Explain the meaning of the number \(3\) in the equation \(y=3+0.8x\).

   [1]

Another delivery company, GoParcel, charges according to \(y=7+0.4x\).

4. Explain the meaning of \(0.4\) in this equation.

   [1]

5. By adding another line to the same axes, or otherwise, solve

   \[\begin{aligned} y& =3+0.8x, \\ y &=7+0.4x \end{aligned}\]

   [3]

6. State which company a customer should use depending on the delivery distance.

   [1]