Question

Question 1-1

The table shows values of y relative to values of x in a proportional relationship. What is the constant of proportionality for this relationship?
X Y
6 24
8 32
10 40
12 48

Answer 1

Answer:10 40

Explanation:

Answer 2

y = 4x

Explanation:

To find the constant of proportionality, we need to calculate the ratio of y to x for any two corresponding values in the table.

Let's choose the first set of values: x = 6, y = 24.

y/x = 24/6 = 4

So the constant of proportionality is 4.

We can check this for the other sets of values as well:

- for x = 8, y = 32: y/x = 32/8 = 4

- for x = 10, y = 40: y/x = 40/10 = 4

- for x = 12, y = 48: y/x = 48/12 = 4

In each case, the ratio of y to x is equal to 4, so the constant of proportionality is indeed 4. Therefore, the relationship between x and y is:

y = 4x