Question

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 cost per meter?

B. How long is a piece of nylon rope that costs $1.00?

Answer 1

Answer:

1. $0.80 or 80 cents

2. 1.25 meters

Step-by-step explanation:

The equation p=0.8L represents the price p (in dollars) of a piece of nylon rope that is L meters long.

1. To find how much the nylon costs per meter, take L = 1 (this means you are calculating the price of a piece of nylon rope that is 1 meter long):

$L=1,\\ \\p=\ 0.8\cdot 1=\ 0.80$

2. To find how long a piece of nylon rope that costs $1.00 is, substitute into the equation p = 1:

$p=1,\\ \\1=0.8L\\ \\L=\dfrac{1}{0.8}=\dfrac{10}{8}=\dfrac{5}{4}=1.25\ meters$