Question

story 2 story: a recipe recommends 1 banana for every 2 smoothies. equation: y = 1/2x is the relationship proportional? circle one. yes no explain your thinking. number of smoothies, x number of bananas, y 0 0 1 2.5

Explanation:

Step1: Recall proportional - relationship definition

A relationship $y = kx$ is proportional if it passes through the origin $(0,0)$ and has a constant of proportionality $k$.

Step2: Check the given equation

The equation is $y=\frac{1}{2}x$. When $x = 0$, $y=\frac{1}{2}\times0 = 0$. The constant of proportionality $k=\frac{1}{2}$.

Step3: Check the table values

The table has an incorrect value. When $x = 1$, according to the equation $y=\frac{1}{2}x$, $y=\frac{1}{2}\times1=\frac{1}{2}$, but the table shows $y = 2.5$ which is wrong. However, ignoring the wrong - value in the table, the equation $y=\frac{1}{2}x$ represents a proportional relationship.

Answer:

Yes