Question

read the description of a proportional relationship.
every sunday, josie and her cousins get together for brunch. this week, josie is in charge of making fresh - squeezed orange juice. there is a proportional relationship between the number of oranges josie squeezes, x, and the amount of juice (in ounces) she makes, y.
josie has 24 ounces of juice after squeezing 8 oranges. write the equation for the relationship between x and y.
$y = \square$

Explanation:

Step1: Find the constant of proportionality

Since \( y \) is proportional to \( x \), the relationship is \( y = kx \), where \( k \) is the constant of proportionality. We know that when \( x = 8 \), \( y = 24 \). Substitute these values into the equation: \( 24 = k \times 8 \). Solve for \( k \) by dividing both sides by 8: \( k=\frac{24}{8}=3 \).

Step2: Write the equation

Now that we know \( k = 3 \), the equation for the proportional relationship is \( y = 3x \).

Answer:

\( 3x \)