Direct Variation
Write an equation:
a varies directly with b.
What is a = kb?
Write the equation:
y varies inversely with x
y=k/x
Write the equation:
m varies jointly with b, h and c
The time, t, it takes to travel a certain distance varies directly with the speed, s. Write the variation equation if t = 8 hours and s = 80 miles per hour.
What is
t = 640/s
The time (T) required to do a job varies inversely as the number of people (P) working. It takes 8 hours for 6 bricklayers to build a park wall.
What is
T = 48/p
Write the equation:
m varies directly with n.
What is m = kn?
j varies inversely with the square of n.
What is
j=k/n^2
Write the equation:
n varies directly with p and inversely with the cube of c.
What is
n=(kp)/c^3
The time, t, it takes to travel a certain distance varies directly with the speed, s. Write the variation equation if t = 8 hours and s = 80 miles per hour. Use your equation to find out the time it takes for a trip if you are traveling 50 miles per hour.
What is 12.8 hours?
The time (T) required to do a job varies inversely as the number of people (P) working. It takes 8 hours for 6 bricklayers to build a park wall.
What is 4.8 hours?
P varies directly with q. If p is 75 and q is 5, what is the constant of variation?
What is 15?
W varies inversely with q. If w is 3 and q is 12, what is the value of the constant of variation?
What is 36?
Q varies jointly with a, b and c. When a = 5, b = 3 and c = 2, Q is 150. What is the value of the constant of variation?
What is k=5?
George’s income varies directly with the number of hours he works. Thomas worked 50 hours last week and made $800.
What is I = 40h?
The volume of a prism varies jointly as its width and height. A prism has a height of 6 inches and a width of 3 inches and has a volume of 162 cubic inches.
What is V = 9hw?
P varies directly with q. If p is 75 and q is 5,write the variation equation.
What is p = 15q?
W varies inversely with q. If w is 3 and q is 12, write the variation equation.
What is
w=36/q
Q varies jointly with a, b and c. When a = 5, b = 3 and c = 2, Q is 150. Write the variation equation.
What is Q = 5abc?
Your score on a quiz varies directly with how many questions you answer correctly. If you got a 90 on your quiz and you got 30 questions right, write an equation for this relationship.
What is y = 3x?
The volume of a prism varies jointly as its width and height. A prism has a height of 6 inches and a width of 3 inches and has a volume of 162 cubic inches. What is the volume of a prism with a height of 9 inches and a width of 4 inches?
What is 324 cubic inches?
P varies directly with q. If p is 75 and q is 5, find the value of P when q is 8.
What is 120?
W varies inversely with q. If w is 3 and q is 12, find the value of w when q is 9.
What is 4.
Q varies jointly with a, b and c. When a = 5, b = 3 and c = 2, Q is 150. Q is 3000 when a is 10 and c is 5. Find b.
What is 12?
The time, T, to travel a fixed distance varies inversely with the rate, R, of travel. If T=4 hr. and R=20 mi/hr. , find T when R=50 mi/hr.
What is T= 1.6 hours?
Hint - k = 80
The time, t, it takes to travel a certain distance varies inversely with speed, s. If t = 8 hours and s = 70 mi/hr, how long will it take if you are traveling 80 mi/hr?
What is 7 hours?