Final answer:
The cost per meter of the nylon rope is 0.8 dollars, and a piece of rope that costs one dollar is 1.25 meters long.
Step-by-step explanation:
To find the cost per meter of the nylon rope, we need to divide the price by the length. The equation given is P = 0.8L, where P represents the price and L represents the length in meters. So, the cost per meter is P/L = 0.8L/L = 0.8 dollars.
To find the length of a piece of nylon rope that costs one dollar, we can set up the equation 1 = 0.8L and solve for L. Dividing both sides by 0.8 gives us L = 1/0.8 = 1.25 meters.