Question

If m varies directly as p, and m=5 when p=7, what is the constant of variation?

Answer 1

the constant of variation, k= 5/7

Explanation:

if m varies directly as p, and m=5 when p=7, what is the constant of variation

m varies directly as p, so equation becomes

m = kp , where k is the constant of proportionality

m=5 when p=7, we need to find out k

Plug in the given values and find out k

m=k * p

5= k * 7

Divide by 7 on both sides

so k= 5/7

Answer 2

For direct relations, we can write:
m = kp; k is the constant of proportionality.
5 = 7k
k = 5/7
The constant of variation is 5/7.