Since r varies directly with s, we have
r = ks (replace k with 5 and s with 7)
r = (5)(7)
r = 35
y = -5
y = 8
We write y=kx since y varies directly as x. Now we know if x is 5, y is 10. so we write 10=5k so k=2
25
If P varies directly with q, r and s then P = kqrs, where k is a constant. As 70 = k x 7 x 5 x 4 = 140k : k = 70/140 = 1/2 The equation of joint variation is P = ½qrs.
57
y = -5
y = 8
y = 3x y = 3*19 = 57
x = 5.y.z so 5.10.12 = 600
Y=kx+m Y=-5x+m K=-5
y is directly proportional to x. When y = 15, x = 3 therefore y = 5x When x = 12, then y = 5 x 12 = 60.
We write y=kx since y varies directly as x. Now we know if x is 5, y is 10. so we write 10=5k so k=2
80
y / r2 = a constant (k) so k = 405/81 ie 5. k = y/4 when r = 2, so y = 20.
25
-6/y=5/-2 5y=12 y=12/5