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 rope cost per meter. b. How long is a piece of nylon rope that costs $1.00

Answer 1

a. $ 0.8

b. 1.25 meters.

Explanation:

Given equation that represents the price p (in dollars) of a piece of nylon rope having length L meters,

`p=0.8L`

a. If L = 1 meter,

The cost of the rope would be,

`p=0.8(1) = \$ 0.8`

b. if p = $ 1.00,

`\implies 1 = 0.8L`

`\implies L=(1)/(0.8)=1.25`

Thus, the length of the rope would be 1.25 meters.

Answer 2

(a) $0.80

(b) 1.25 m

Explanation:

(a) Put 1 where L is, and evaluate the equation.

... p = 0.8·1 = 0.8

The cost for 1 meter of rope is $0.80.

(b) Put 1 where p is and solve for L.

... 1 = 0.8L

... 1/0.8 = L = 1.25

The length of rope that costs $1 is 1.25 meters.