write the equation of the proportional relationship below. ** write your rate of change as a decimal **

Explanation:

Step1: Identify two points on the line

The line passes through the origin $(0,0)$ and the point $(50, 175)$.

Step2: Calculate the rate of change (slope)

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=0,x_2 = 50,y_2=175$. So $m=\frac{175 - 0}{50 - 0}=\frac{175}{50}=3.5$.

Step3: Write the equation of the proportional - relationship

The equation of a proportional relationship is $y=mx$, where $m$ is the rate of change. Since $m = 3.5$, the equation is $y = 3.5x$.

Answer:

$y = 3.5x$