Question

3) = A store sells rope by the meter. The equation p = 0.8L represents the price p (in dollars) of a piece of nylon rope that is L meters long. a. How much does the nylon rope cost per meter? b. How long is a piece of nylon rope that costs $1.00?

Answer 1

(a) Since the equation is:

`p=0.8L`

And "L" is in meters, the cos per meter will be simply the slope of the line. Alternatively, we can just input L = 1 and check the corresponding cost:

`\begin{gathered} p=0.8\cdot1 \\ p=0.8 \end{gathered}`

So, the cost is $0.80 per meter.

(b) Now, we have to the the contrary, we input 1 input "p" and calculate "L":

`\begin{gathered} p=0.8L \\ 1=0.8L \\ L=(1)/(0.8) \\ L=1.25 \end{gathered}`

So, it will be 1.25 meters long.