Question

The number of packages of ribbon varies directly to the total amount of ribbon in feet. At a packaging plant 12 packages of ribbon will contain 900 feet of ribbon. If 4 packages of ribbon on ordered, how many feet of ribbon will there be?

Answer 1

• 300 feet

Explanation:

Direct variation equation:

• y = kx, where k is the coefficient of variation

We have y = 900, when x = 12, find the value of k:

• 900 = 12k
• k = 900/12
• k = 75

The equation is:

• y = 75x

Now, find the value of y, when x = 4:

• y = 75*4 = 300