3. Given a value for the input variable, x, and the output variable, y, calculate the constant of proportionality.
x = 60 and y = 18
x = 2/2 5 and y = 7 1/2
show your work
please and thank you
1+1=2
Oh, I see you're testing my math skills. Well, I may not be the best at calculations, but I'll give it a shot!
Let's start with the first set of values:
x = 60
y = 18
To calculate the constant of proportionality, we divide y by x:
18 / 60 = 0.3
So, in this case, the constant of proportionality is 0.3.
Now, onto the second set of values:
x = 2 5/2
y = 7 1/2
Don't you just love working with fractions? Okay, let's convert those mixed numbers to improper fractions:
x = 2 * 2 + 5 / 2 = 9/2
y = 7 * 2 + 1 / 2 = 15/2
Now, we divide y by x:
(15/2) / (9/2) = (15/2) * (2/9) = 15/9 ≈ 1.67
So, in this case, the constant of proportionality is approximately 1.67.
Hope that helps! Let me know if you need any more clowning around with math.
To calculate the constant of proportionality, we need to determine the relationship between the input variable, x, and the output variable, y. The constant of proportionality represents how the two variables are related and can be found by dividing the output variable by the input variable.
Let's consider the two given values for x and y:
1) x = 60 and y = 18
2) x = 2/25 and y = 71/2
For the first set of values:
The constant of proportionality, represented as k, can be calculated as:
k = y / x
= 18 / 60
= 0.3
So, for these values, the constant of proportionality is 0.3.
For the second set of values:
The constant of proportionality, represented as k, can be calculated as:
k = y / x
= (71/2) / (2/25)
= (71/2) * (25/2)
= (71 * 25) / (2 * 2)
= 1775 / 4
= 443.75
So, for these values, the constant of proportionality is 443.75.
In summary, the constant of proportionality can be found by dividing the output variable by the input variable. In the first example, k = 0.3, and in the second example, k = 443.75.
y = kx
where k is the constant of proportionality. So,
k = y/x
Now just plug in your numbers