Variations
If a car runs at a constant speed and takes 3 hrs to run a distance of 180 km, what time it will take to run 100 km?
What is 1 hour 40 minutes
time required to empty a tank varies inversely as the rate of pumping. A pump can empty a tank in 90 min at a rate of 2100 L/min. How long will it take the pump to empty the tank at a rate of 2000 L/min?
What is 94.5 minutes
f(x)=x*x^2 x=5
What is Y=125
x − 6 = √x
What is X=9
If y varies inversely as x, and y =12 when x = 2, find y when x =8.
What is Y=3
As the speed of the car increases the time taken to cover certain distance decreases.
What is inverse
The cost to fill a sandbox varies directly as the depth of the sand. Lucinda checks at her local hardware store find that it would cost $75 to fill the box with 6 in. of sand. How much would it cost Lucinda to fill the sandbox to a depth of 8 in.?
What is $100
f(x)=x*x x=2
What is Y=4
√x + 3 − 6 = 3
What is X=78
In kick boxing, it is found that the force, f, needed to break a board, varies inversely as the length, L, of the board. If it takes 5lbs of pressure to break a board 2 feet long, how many pound of pressure will it take to break a board that is 5 feet long?
What is 2 pounds of presure
What kind of variation when X=2 Y=1, When X=1 Y=0
What is direct
The apparent size of an object varies inversely as the distance of the object from the eye. A flagpole 30 feet from an observer appears to be 27.5 feet tall. How tall will the same flagpole appear to be if it is 100 feet from the eye?
What is 8.25 ft
f(x)=x+x x=6
What is Y=12
√3x − 5 = 7
What is X=18
If y varies inversely as x, and y = 3 when x = 25, find y when x=10.
What is 15/2
What kind of variation is What is X=5 Y=5 X=6 Y=100
What is Indirect
The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. A wire with a length of 200 inches and a diameter of one-quarter of an inch has a resistance of 20 ohms. Find the electrical resistance in a 500 inch wire with the same diameter.
What is 50 ohms
f(x)=x*x^2 y=1
What is X=1
√9x + 10 = x
What is X=10
If p varies directly as the square of q and inversely as the square root of r, and p = 60 when q = 6 and r = 81, find p when q = 8 and r = 144.
What is P=80
if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is
What is k = xy = 5(2) = 10
The number of kilograms of water in a human body varies directly as the total body weight. A person who weighs 75 kg contains 54 kg of water. How many kilograms of water are in a person who weighs 95 kg?
What is 68.4 kg
f(x)=x*x Y=4
What is X=2
√x + 7 − 5 = x
What is X=-3
If y varies directly as x, and x = 7 when y = 28, find y when x = 21.
What is Y=84