Question

I messed up my last question this one is for real.

This graph shows a proportional relationship.

What is the constant of proportionality?

Enter your answer as a decimal in the box.

Answer 1

13.8

Explanation:

When y varies directly with x, we have the relationship
`y=kx` where
`k` is the constant of proportionality.

To determine
`k`, we simply need to determine the slope, or rate of change, using the coordinate points
`(x_1,y_1)\rightarrow(2,27.60)` and
`(x_2,y_2)\rightarrow(6,82.80)`:

`k=(y_2-y_1)/(x_2-x_1)=(82.80-27.60)/(6-2)=(55.20)/(4)=13.8`

Therefore, the constant of proportionality is 13.8