Question

every sunday, kayla and her cousins get together for brunch. this week, kayla is in charge of making fresh - squeezed orange juice.
there is a proportional relationship between the number of oranges kayla squeezes, x, and the amount of juice (in ounces) she makes, y.
graph: x - axis labeled oranges from 0 to 10, y - axis labeled ounces from 0 to 10, a purple line passing through the origin and (3,10) approximately
write an equation for the relationship between x and y. simplify any fractions.
y = \square

Explanation:

Step1: Identify proportional form

Proportional relationships follow $y=kx$, where $k$ is the constant of proportionality.

Step2: Find k from the graph

Pick a point on the line, e.g., $x=2$, $y=5$. Calculate $k=\frac{y}{x}=\frac{5}{2}$.

Step3: Write the equation

Substitute $k$ into $y=kx$.

Answer:

$y=\frac{5}{2}x$