Given that y varies directly as x and inversely 2m-1 and that y=5 when x-7 and m=4.

Calculate

A) the constant of various the

B) the value of when x=2and m=2

The value of m whn y=2 and x=4

Step-by-step explanation:

y ∞ x/m

y = kx/m

Where k is the constant of proportionality

A. k = ym/x

y=5 when x=7 and m=4

k = (5*4) / 7

k = 20/7

y = 20x/7m

B) the value of when x=2and m=2

y = 20x/7m

y = (20*2) / (7*2)

y = 40/14

y = 20/7

y = 2 6/7

C. The value of m when y=2 and x=4

y = 20x/7m

7ym = 20x

m = 20x/7y

m = (20*4) / (7*2)

m = 80/14

m = 40/7

m = 5 5/7