Question

A witch brewed a magical invisibility potion.

There is a proportional relationship between the amount of potion the witch drinks (in milliliters), x, and the amount of time she is invisible (in minutes), y.

What is the constant of proportionality? Write your answer as a whole number or decimal.

Answer 1

The constant of proportionality will be same as the slope of the line. Let's take two points from the line: (0,0) and (1,2)

The slope for a line that passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ is:

$\dfrac{y_2-y_1}{x_2-x_1}$

Substitute the two points into this formula for slope and we have:

$=\dfrac{2-0}{1-0}$

After solving and simplifying, we get

$=2$

Thus, the slope of the line is 2. This means that the constant of proportionality is 2. Let me know if you need any clarifications, thanks!

~ Padoru

Answer 2

Answer:

The constant proportionality is 2

Step-by-step explanation:

Step 1:  Find two points

To find the proportional relationship, you need to identify two points.

(x1, y1) -> (1, 2) is a point

(x2, y2) -> (2, 4) is a point

Step 2:  Find the slope/proportional relationship

Slope = $\frac{y2-y1}{x2-x1}$

Slope = $\frac{4-2}{2-1}$

Slope = $\frac{2}{1}$

Slope = 2

Answer:  The constant proportionality is 2