Question

Ashwini’s family is getting reading for the local Holi Festival. Ashwini mixes yellow and red food coloring to make orange according to the graph. What is the slope of the line what does the slope represent?

Answer 1

From the given graph, let's find the slope.

Take two points on the line:

(x1, y1) ==> (10, 4)

(x2, y2) ==> (20, 8)

Apply the sloe formula to find the slope:

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

Thus, we have:

$\begin{gathered} m=\frac{8-4}{20-10} \\ \\ m=\frac{4}{10} \\ \\ m=\frac{2}{5} \end{gathered}$

The slope of the line is 2/5.

Since the x-axis of the graph represents the amount of Yellow food colouring in ounce while the y-axis represents the red food colouring, the slope represents the amount of red food colouring needed per ounce of yellow colouring.

For every ounce of yellow food colouring, there is 2/5 ounce of red food colouring.

ANSWER:

Slope = 2/5

For every ounce of yellow food colouring, there is 2/5 ounce of red food colouring.