direct variation | MathCelebrity Forum

# direct variation

1. ### B varies jointly as u, v, and w

B varies jointly as u, v, and w Varies jointly means we have a constant k such that: B = kuvw
2. ### y varies directly as the reciprocal of x

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
3. ### Write an equation that relates the quantities. G varies jointly with t and q and inversely with the

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 =...
4. ### r varies directly with s and inversely with the square root of t

r varies directly with s and inversely with the square root of t Varies directly means we multiply Varies inversely means we divide There exists a constant k such that: r = ks/sqrt(t)
5. ### b varies directly as the sum of x and y

b varies directly as the sum of x and y This is a direct variation problem. Direct variation means there exists a constant k such that: b = k(x + y)
6. ### F varies directly as g and inversely as r^2

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...
7. ### z is directly proportional to the square of x and y

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

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
9. ### does the equation y= x/3 represent a direct variation? If so, state the value of k

does the equation y= x/3 represent a direct variation? If so, state the value of k Yes, it's a direct variation equation. We rewrite this as: y = 1/3 * x So k = 1/3, and y varies directly as x.
10. ### b varies directly as a. if b is 78 when a is 13, what is b when a is 23?

b varies directly as a. if b is 78 when a is 13, what is b when a is 23? Using our direct variation calculator, we get: b = 138
11. ### Suppose that h(x) varies directly with x and h(x)=44 when x = 2. What is h(x) when x = 1.5?

Suppose that h(x) varies directly with x and h(x)=44 when x = 2. What is h(x) when x = 1.5? Direct variation means we set up an equation: h(x) = kx where k is the constant of variation. For h(x) = 44 when x = 2, we have: 2k = 44 Type this equation into our search engine, we get: k = 22 The...
12. ### In a hurricane the wind pressure varies directly as the square of the wind velocity. If a wind pres

In a hurricane the wind pressure varies directly as the square of the wind velocity. If a wind pressure is a measure of a hurricane's destruction capacity, what happens to this destructive power when the wind speed doubles? Let P = pressure and v = velocity (wind speed) We are given p = v^2...