Question

How much would EZ Excavation charge to haul 40 cubic yards of dirt

Answer 1

Given the line on the graph, we have that it passes through the points (1,25) and (2,50), then we can find the relation function with the slope-point equation of the line:

`\begin{gathered} \text{slope:} \\ m=(y_2-y_1)/(x_2-x_1) \\ \Rightarrow m=(50-25)/(2-1)=(25)/(1)=25 \\ y-y_1=m(x-x_1) \\ \Rightarrow y-25=25(x-1) \\ \Rightarrow y=25x-25+25=25x \\ y=25x \end{gathered}`

we have that the cost of the dirt is given by the equation y=25. To find how much would it be for 40 cubic yards of dirt, we make x=40 and we get the following:

`\begin{gathered} x=40 \\ \Rightarrow y=25\cdot40=1000 \\ y=1000 \end{gathered}`

therefore, the cost to haul 40 cubic yards of dirt is $1000