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

Answer:

5x = 14

Step-by-step 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: $y==\frac{14}{5}x$

Step-by-step 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:

$14=k(5)\\k=\frac{14}{5}$

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

$y==\frac{14}{5}x$