A fruit stand sells 8-ounce containers of blueberries for $4.00. If y represents the cost of x ounces of blueberries, which equation correctly models this proportional relationship?

Question

y = 0.2 x
y = 0.5 x
y = 2 x
y = 4bx

Answer 1

To determine the correct equation that models the proportional relationship between the ounces of blueberries (x) and the cost (y), we need to first understand the price per ounce.

We know:

• A container of blueberries costs $4.00
• The container holds 8 ounces

To find the cost per ounce, we can divide the total cost by the total ounces:

\[ \text{Cost per ounce} = \frac{4.00}{8} = 0.50 \]

This means that each ounce of blueberries costs $0.50.

Now, we can express the total cost (y) in terms of the number of ounces (x):

\[ y = 0.50 \cdot x \]

Thus, the equation that correctly models this relationship is:

y = 0.5 x.