Question

Susan is selling headbands that she make. She sells 8 for 31.20. If the total cost varies directly with the price of a headband. Write a direct variation equation then to find the cost of 15 headbands

Answer 1

In this case, we can use the given information to set up a proportion and found that the cost of 15 headbands is approximately $58.50.

Step-by-step explanation:

A direct variation equation relates two variables that vary directly, meaning that as one variable increases or decreases, the other variable also increases or decreases proportionally.

In this case, the number of headbands sold is the independent variable, and the cost is the dependent variable.

We are given that Susan sells 8 headbands for $31.20.

To find the cost of 15 headbands, we can set up a proportion using the direct variation equation.

Let x be the number of headbands and y be the cost. We can write the equation as:

y = kx

where k is the constant of variation.

Using the information given, we can set up the proportion:

8/31.2 = 15/y

Cross multiplying, we get:

8y = 31.2 * 15

Solving for y, we find:

y = 31.2 * 15 / 8

y ≈ 58.50

Therefore, the cost of 15 headbands would be approximately $58.50.