Find the constant of proportionality
2 90
3 135
5 225
6 270
18?
By what
90/5 = ?
I had a typo. Sorry.
The first pair of number is 90/2 =
45?
Yes! 45
So 45 is the constant of proportionality?
Yes. You can prove it by dividing each pair of numbers.
To find the constant of proportionality, we need to determine the relationship between the two variables in the given data. In this case, we have two variables: the first column represents "2, 3, 5, 6," while the second column represents "90, 135, 225, 270."
To find the constant of proportionality, we can begin by comparing the ratios of the second column to the first column. Let's take the second ratio (90/2 = 45) and divide it by the first ratio (135/3 = 45). We have:
(90/2) / (135/3) = 45 / 45 = 1.
Now, we can take the next ratio (135/3) and divide it by the first ratio (225/5). We have:
(135/3) / (225/5) = 45 / 45 = 1.
Finally, let's take the last ratio (225/5) and divide it by the first ratio (270/6). We have:
(225/5) / (270/6) = 45 / 45 = 1.
From these calculations, we can see that the ratios of the second column to the first column are all equal to 1. This indicates that there is a constant of proportionality between the two variables. Therefore, the constant of proportionality is 1.