Question

What is changing per day in road length?What is road length when crew started working

Answer 1

Given the equation

`y=2x+51`

Notice that it is a linear equation

The change per day in the road's length is given by the slope of the line which is the constant that accompanies the x-term.

Therefore, the answer to part 1) is 2 miles.

On the other hand, set x=0 (zero days since the crew started working); then,

`\begin{gathered} y=2\cdot0+51 \\ \Rightarrow y=51 \end{gathered}`

Thus, the initial length of the road is 51 miles.