Question

The cost of fabric (y) is directly proportional to he length is yards (x). If 5 yards of fabric cost $14, which equation models this situation?

Answer 1

5x = 14

Explanation:

If 5 yards of fabric is $14 you need an equation that would solve how much 1 yard of fabric costs. You can say 5x = 14 or x = 2.8 which means that one yard of fabric (1x or just x) is $2.80.

Answer 2

Answer:
`y==(14)/(5)x`

Explanation:

By definition, we know that Direct proportion equation has the following form:

`y=kx`

Where k is the constant of proportionality.

Then, If 5 yards of fabric cost $14, you can calculate k as following:

`14=k(5)\\k=(14)/(5)`

Therefore substituting the value of k into the first equation, you obtain the following equation:

`y==(14)/(5)x`