Question

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

Answer 1

m varies directly as p means
m = kp

Answer 2

Substituting in for m and p

5 = k(7)

Answer 3

Solve for k by dividing by 7

5 = k(7)
- ---
7 7

5/7 = k

Answer 4

Now start over with m = kp but put in 5/7 for k

m = 5/7p

Answer 5

Oops.. didn't read the problem.. your constant of variation means the same as the value of k so the answer is 5/7

Answer 6

haha thank you :)