can someone correct this for me.
Find the constant of variation k.
m varies directly with n; m=144 when n = 8
my answer:
144 = k (8)
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8
To find the constant of variation, we can use the formula:
m = k * n
Given that m varies directly with n and m = 144 when n = 8, we can substitute these values into the formula:
144 = k * 8
To solve for k, we divide both sides of the equation by 8:
144/8 = k
Simplifying the left side:
18 = k
So, the constant of variation, k, is 18.
To check our answer, we can substitute k back into the equation:
m = 18 * n
If we substitute n = 8 into this equation, we should obtain m = 144:
m = 18 * 8
m = 144
Therefore, our answer is correct and the constant of variation, k, is indeed 18.