M varies directly with n; m=144 when n=8. What is the constant of variation k?
I don't know what this mean. Could you help me out in solving this/
A statement such as
"M varies directly with n" can be changed to the equation
M=kn, where k is a constant.
since you are given the values of M and n, substitute these into that equation and you can find k
By the way, 'M varies directly with n' is also often stated as, "M is directly proportional with n"
3x=6
3x=6 x=2
To solve for the constant of variation, k, in the equation M = kn, we are given that M = 144 when n = 8.
Substituting these values into the equation, we have:
144 = k * 8
To find the value of k, we can rearrange the equation and solve for k:
k = 144 / 8
Dividing 144 by 8, we get:
k = 18
Therefore, the constant of variation, k, is 18.