variation

C varies directly as d use k as the constant of variation Direct variation means we multiply below: C = kd

y varies directly as the reciprocal of x The reciprocal of x is written as: 1/x The phrase varies directly means there exists a constant k such that y = k/x

Write an equation that relates the quantities. G varies jointly with t and q and inversely with the cube of w . The constant of proportionality is 8.25 . Varies jointly or directly means we multiply Varies inversely means divide The cube of w means we raise w to the 3rd power: w^3 Using k =...

u varies jointly as q and the square of m Varies jointly means we multiply. There exists a constant k such that: u = kqm^2

p varies directly as the square of r and inversely as q and s and p = 40 when q = 5, r = 4 and s = 6, what is the equation of variation? Two rules of variation: Varies directly means we multiply Varies inversely means we divide There exists a constant k such that our initial equation of...

c varies jointly as the square of q and cube of p The square of q means we raise q to the 2nd power: q^2 The cube of p means we raise p to the rdd power: p^3 The phrase varies jointly means there exists a constant k such that: c = kp^3q^2

f varies jointly with u and h and inversely with the square of y. Variation means we have a constant k. Varies jointly with u and h means we multiply k by hu Varies inversely with the square of y means we divide by y^2 f = khu/y^2

Use k as the constant of variation. L varies jointly as u and the square root of v. Since u and v vary jointly, we multiply by the constant of variation k: l = ku * sqrt(v)

F varies directly as g and inversely as r^2 Givens and assumptions We take a constant of variation called k. Varies directly means we multiply our variable term by k Varies inversely means we divide k by our variable term The phrase varies directly or varies inversely means we have a constant...

C varies directly as the cube of a and inversely as the 4th power of B The cube of a means we raise a to the 3rd power: a^3 The 4th power of B means we raise b to the 4th power: b^4 Varies directly means there exists a constant k such that: C = ka^3 Also, varies inversely means we divide by...

z is directly proportional to the square of x and y Directly proportional means there exists a constant k such that: z = kx^2y

If x varies directly with y and x = -3 when y = 12, what is the constant of variation? Using our variation calculator, we see the constant of variation (k) is: k = -1/4 or -0.25

If y=-72 when x=6, find y when x is 3 Using our variation calculator, we get y = -36

The income i is directly proportional to working hours h The phrase directly proportional means there exists a constant k such that: I = kh

z is jointly proportional to the square of x and the cube of y The square of x means we raise x to the power of 2: x^2 The cube of y means we raise y to the power of 3: y^3 The phrase jointly proportional means we have a constant k such that: z = kx^2y^3

a varies directly with b and inversely with c Direct variation means we multiply. Inverse variation means we divide. There exists a constant k such that: a = kb/c

z varies directly with x and inversely with y The phrase directly means we multiply. The phrase inversely means we divide Variation means there exists a constant k such that: z = kx/y

K varies inversely with square root of m and directly with the cube of n. We take a constant c as our constant of proportionality. The word inversely means we divide The word directly means we multiply k = cn^3/sqrt(m)

If y varies directly as x and inversely as z, then which equation describes the relation? Directly means we multiply, inversely means we divide, so we have a constant k such that: y = kx/z

k varies jointly with m,n, p The phrase varies jointly means we have a constant c such that: k= cmnp