# Variation Word Problems

Many students find variation word problems difficult. At TuLyn, we created word problems on variation to help you better understand variation.

### Inverse Variation Word Problems

Practice inverse variation word problems.

### Joint Variation Word Problems

Practice joint variation word problems.

### Direct Variation Word Problems

Practice direct variation word problems.

# Submit your word problem on variation:

Are you looking for variation word problems? TuLyn is the right place. We have tens of word problems on variation and hundreds on other math topics.

Below is the list of all word problems we have on variation.

# Variation Word Problems

• At sea, the distance to the horizon (#907)
At sea, the distance to the horizon is directly proportional to the square root of the elevation of the observer. If a person who is 36 feet above the water can see 7.4 ...
direct variation, variation
• Carl drove from his house to work (#2817)
Carl drove from his house to work at an average speed of 35 miles per hour. The drive took him 25 minutes. If the drive home took him 30 minutes and he used the same route in ...
joint variation, variation, speed
• Direct Variation (#3997)
ferdie's car uses 15 liters of gasoline to trvel 200 kilometers.in that ...
direct variation, variation
• Direct Variation (#4704)
Calories burned while bicycling at 12mi/h to a person's ...
direct variation, variation
• Direct Variation (#5490)
the amount of money raised at a garage sale varies directly to the number of customers.  The amount of money for 6 customers was \$300...
direct variation, variation
• Direct Variation (#8191)
The amount of interest earned on a savings account is directly proportional to the amount of money in the account. If \$5000 earns \$350 ...
direct variation, variation
• Direct Variation (#10771)
a mother has four children and wants them to all have a bath by 9:00 pm. She wants them to fill the tub halfway and bathe their entire bodies. afterward, each child needs to drain the water so the next child can use the tub. The dimensions of the tub are 60 inches long, 32 inches wide, and 20 inches high. How many gallons of water will it take for each child to take abath. 1cubic foot equals 7...
direct variation, variation
• Force needed to keep a car from skidding (#2320)
Force needed to keep a car from skidding on a curve varies jointly as the weight of the card and the square of the speed adn inversely as the radius of the curve. It takes 3800 pounds of force to keep an 1800 pound car from skidding on a curve with radius 425 feet at 45 ...
joint variation, variation
• If w varies directly as the square root of T (#32)
If w varies directly as the square root of T, what is the value of the constant of variation when w= 562...
direct variation, variation
• If y varies directly (#868)
If y varies directly with x and y =-8 when x = 4, find y when x = 20
inverse variation, variation
• Inverse Variation (#4004)
the number of miles per gallon of gasoline that a vehicle averages varies inversely as the average speed the car travels.  A vehicle gets 13 miles per gallon at 52 ...
inverse variation, variation
• John made \$2,300 dollars of popcorn sales (#10)
John made \$2,300 dollars of popcorn sales over 2 ...
direct variation, variation
• Joint Variation (#6245)
The distance s that an object falls due to gravity varies jointly as teh acceleration g due to gravity and teh square of the time t of fall. The acceleration due to gravity on the moon is 0.172 of that on the earth. If a rock falls for t0 seconds on ...
joint variation, variation
• Joint Variation (#10713)
if the rent for grazing 40 cows for 20 days is Rs. 370, how many cows can graze for 30 days on ...
joint variation, variation
• Q varies as the cube root of Z (#2994)
Q varies as the cube root of Z. If Q=9 and Z=27, find
1. The constant of proportionality
2. An expression for Z interms of Q
3. The value of Q when Z=8
direct variation, variation
• Radiation machines, used to treat tumors (#3391)
Radiation machines, used to treat tumors, produce an intensity of radiation that varies inversely as the square of the distance from the machine. At 3 meters, the radiation intensity is 62.5 milliroentgens per hour. What is the intensity at a distance of 2...
variation, inverse variation
• The force with which the earth attracts (#73)
The force with which the earth attracts an object above the surface of the earth varies inversely with the square of the distance of the object from the center of the earth.  If an object 4000 miles from the center of the earth is attracted with a force of 160 ...
joint variation, variation
• The gravitiational force F between two spherical objects (#3151)
The gravitiational force F between two spherical objects, having mass m1 and m2 respectively, varies jointly with respect to m1 and m2 and inversely with respect to the square of the distance d between the two objects. If m1 = 20 kilograms, m2 = 100 kilograms and the force F = 3.35 108 Newtons when the distance between the two objects is d = 2 ...
joint variation, variation
• The kinetic energy(k) of a moving object (#3187)
The kinetic energy(k) of a moving object varies jointly with its mass(m) and the square of its velocity(v). If an object weighing 90 kilograms and moving with a velocity of 20 meters per second has a kinetic energy of 4500 ...
joint variation, variation
• The property taxes on a warehouse (#31)
The property taxes on a warehouse are \$21,670. If the taxes vary directly as the value, and the constant of cariation is 0.022...
direct variation, variation
• The ratio of the length to the width (#132)
The ratio of the length to the width is 7 meters to 5 meters. If the length is 20 meters longer than the ...
direct variation, variation
• The simple interest earned (#2707)
The simple interest earned by a certain amount of money varies jointly as the rate of interest and the time (in years) that the money is invested. If \$140 is earned for a certain amount of money invested at 7% for 5 ...
joint variation, variation
• Under certain conditions of artifical light (#2355)
Under certain conditions of artifical light, the exposure time required to photograph an object varies directly as the candle power of the light and varies inversely as the square of the object's distance fom the light source. If the exposure time is 0.01 second when the light source is 6.00 feet from the ...
inverse variation, variation
• Variation (#5903)
Cars manufactured varies jointly as the number of workers and the time they work. If 200 workers can produce 60 cars in 2 ...
variation
• Variation (#8118)
A goalie makes 33 goals with 4.5 hours of practice. Suppose he practices for 5.5 ...
variation
• Variation (#9108)
the cost of chocalates varies directly as the number of pounds. If 2 pounds of chocalates cost \$4.60...
variation
• Variation (#9949)
The force F needed to loosen a bolt with a wrench varies inversely with the length of the handle. 250 pounds of force must be exerted to loosen a bolt when using a wrench with a handle 6 inches ...
variation
• Variation (#9967)
the amount of paint needed to paint a spherical ball varies directly as the square of the  radius.a ball w/a radius of 10cm needs about 2 small cans of paint.how many small cans of paint are needed to paint 3 balls,each of w/c has a radius of 22cm
variation
• Variation (#10852)
find the variation constant and the equation of variation where y varies inversely as x, given y=24 and x=0.3
variation
• z varies jointly as x and y inversely as w (#2583)
z varies jointly as x and y inversely as w. Write appropriate combined variation equation and find z for given values x, y, and w.
z=10 when x=5 and w=3 x=8 y=6 and w=-12
inverse variation, variation