Based on the relationship in the table, when x = 3, the value of y is 36.
How to get value of y
Based on the table, the values of y are directly proportional to the values of x. This means that the ratio of y to x remains constant.
To find the constant of proportionality, choose any two pairs of x and y values and calculate their ratio.
Let's choose the pairs (2, 24) and (3, 36):
Ratio = y / x
For the pair (2, 24):
Ratio = 24 / 2 = 12
For the pair (3, 36):
Ratio = 36 / 3 = 12
We can see that the ratio is the same for both pairs, which confirms that y and x are directly proportional.
Now, to find the value of y when x = 3:
Ratio = y / x
Substitute the given values:
12 = y / 3
To solve for y, multiply both sides by 3:
3 * 12 = y
36 = y
Therefore, when x = 3, the value of y is 36.
complete question
The table on the right shows the values of x and y in a direct proportional relationship. Based on the relationship in the
table, what is the value
of y when x = 3
x: 2, 3, 5, 8, 10
y: 24, 36,60, 96, 120