Name________________________________________________________ Period____________Date___________________
Proportional Models day 2
Find a mathematical model for the verbal statement.
1. V varies directly as the cube of e.
2. y varies inversely as the square of x.
3. F varies directly as g and inversely as r2.
4. z is jointly proportional to the square root of x and the cube of y.
5. If S varies directly as T, and S = 40 when T = 5, write the equation of a proportional
model relating S to T and use the given data to find the value of the constant of
proportionality, k and the value of S when T = 23?
6. If M varies directly with p and M = 75 when p = 10, write the equation of a proportional
model relating M to p and use the given data to find the value of the constant of
proportionality, k and the value of M when p = 24?
7. If Q varies inversely as W and Q = 200 when W = 5, write the equation of a proportional
model relating Q to W and use the given data to find the value of the constant of
proportionality, k and the value of W when Q = 100?
8. If R varies inversely as T and R = 4 when T = 24, write the equation of a proportional
model relating R to T and use the given data to find the value of the constant of
proportionality, k and the value of T when R = 18?
9. If M varies directly as t and inversely as s, and M = 24 when t = 3 and s = 2, write the
equation of a proportional model relating M to s and t and use the given data to find the
value of the constant of proportionality, k and the value of M when t = 7 and s = 9?
10. If Z varies directly as t2 and inversely as u, and Z = 48 when t = 4 and u = 3, write the
equation of a proportional model relating Z to t and u and use the given data to find the
value of the constant of proportionality, k and the value of Z when t = 7 and u = 5?
11. If Y varies jointly with P and Q and Y = 144 when P = 12 and Q = 8, write the equation of a
proportional model relating Y to P and Q and use the given data to find the value of the
constant of proportionality, k and the value of Y when P = 15 and Q = 5?
12. If V varies jointly with r2 and h and V = 4π when r = 2 and h = 3, write the equation of a
proportional model relating V to r2 and h and use the given data to find the value of the
constant of proportionality, k and the value of V when r = 8 and h = 27?