Question
R varies in directly as h & r equal to 5 when h equal to 12 find it
Answers
GPT 3.5
The equation can be written as R = kh, where k is the constant of variation.
To find the value of k, we can divide both sides of the equation by h: R/h = k.
Given that r = 5 when h = 12, we can substitute these values into the equation: 5/12 = k.
Simplifying this equation by multiplying both sides by 12, we find: 5 = 12k.
To find the value of k, we divide both sides by 12: k = 5/12.
Now that we know the value of k, we can substitute it back into the equation: R = (5/12)h.
Thus, when h = 12, R = (5/12) * 12 = 5.
To find the value of k, we can divide both sides of the equation by h: R/h = k.
Given that r = 5 when h = 12, we can substitute these values into the equation: 5/12 = k.
Simplifying this equation by multiplying both sides by 12, we find: 5 = 12k.
To find the value of k, we divide both sides by 12: k = 5/12.
Now that we know the value of k, we can substitute it back into the equation: R = (5/12)h.
Thus, when h = 12, R = (5/12) * 12 = 5.