Direct Variation Word Problems
4/13 = 10/x x= 32.5
If a is directly proportional to b, and a = 13 when b = 4, what is the value of a when b = 10?
(1/2)/(5/6) = (6/5)/p p= 2
If p is directly proportional to q, and q= 1/2 when p= 5/6, what is the value of p when q= 6/5?
(3/4)/(5/8) = (9/25)/t t= 3/10
If r is directly proportional to t, and r= 3/4 when t= 5/8, what is the value of t when r= 9/25?
5/78.5 = x/113.04 x= 7.2
The area of a circle varies directly as the square of its radius. If a circle has an area of 78.5 in2 with a radius of 5 in, what is the radius of a circle with an area of 113.04 in2?
40/104 = x/195 x= 75
The area of an oil spill on land varies directly as the volume of oil spilled. If a 40-gallon oil spill covers an area of 104 square feet, how many gallons of oil spilled covering an area of 195 square feet?
157/25 = 39.25/x x= 6.25
The circumference of a circle varies directly as the radius. If a circle has a circumference of 157 ft with a radius of 25 ft, what is the radius of a circle with a circumference of 39.25 ft?
11/385 = 15/x x= 525
The earnings of an employee varies directly as the number of hours worked. If 11 hours represents $385.00, determine the earnings of working 15 hours.
1550/155 = 1790/x x= 179
The number of calories needed in a daily diet varies directly as the weight of an individual. If 1,550 calories should be consumed daily for a 155-pound person, what is the weight of an individual who consumes 1,790 calories per day
2/24=4/x x=48
The number of goals scored by a soccer team varies directly as the number of shots on goal. If the Lakeside Bears scored 2 goals after 24 shots on goal, how many shots on goal should the team take to score two more goals?
399/19 = x/8 x= 168
The number of miles a car can be driven varies directly with the number of gallons of gas in its tank. Oliver was able to drive 399 miles with 19 gallons of gas in his car. If he puts 8 gallons of gas in the same car, how many miles will he be able to drive?
17/833 = 6/x x= 294
The number of wrecks at a certain intersection varies directly as the number of cars that travel through the intersection. If there are 17 wrecks when 833 cars have traveled through the intersection, how many cars have passed through the intersection after 6 wrecks?
12.5/250 = x/350 x= 17.5
The pressure of a gas varies directly as the temperature. If the pressure is 12.5 atm at a temperature of 250 K, what is the pressure at a temperature of 350 k?
1918/274 = 1596/x x= 228
The price of tiling a room varies directly as the size of the room. Sam is laying tile in his kitchen. If the tiling costs $1,918.00 for 274 square feet, what is the size of a kitchen that costs $1,596.00?
90/35 = x/7 x= 18
The wavelength of a wave varies directly with the velocity of the wave. If the wavelength is 90 feet when the wave travels at a velocity of 35 feet per second, what is the wavelength when the velocity is 7 feet per second?
