Question

A plumber uses the equation c = 20h + 50 to calculate the costof his bill where h represents the hours he works and crepresents the cost of the bill. Use the equation to completethe table below. Then create a COMPLETE graph of the datain the table.

Answer 1

To create the graph of the equation C=20h+50, we use positive values since we are counting hours:

`\begin{gathered} h=0 \\ \Rightarrow C=20\cdot0+50=50 \\ h=1 \\ \Rightarrow C=20\cdot1+50=20+50=70 \\ h=2 \\ \Rightarrow C=20\cdot2+50=40+50=90 \\ h=3 \\ \Rightarrow C=20\cdot3+50=60+50=110 \\ h=4 \\ \Rightarrow C=20\cdot4+50=80+50=130 \end{gathered}`

Now we can make the graph using the points (0,50), (1,70) and so on: