Find the constant of proportionality k. Then write an equation for the relationship between x and y

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

(a)

(b)

Step-by-step explanation:

Given

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

The constant of proportionality k is:

Solving (b): The equation

In (a), we have:

k can also be expressed as:

Substitute values for x1, y1 and k

Cross multiply:

Open bracket

Add 10 to both sides

probability for j is 1/4

while

a is 1/6