# Direct Variation - Page 6

Questions

- Is #x/y = 1/2# a direct variation equation and if so, what is the constant of variation?
- How do you determine the constant of variation for the direct variation given (0, 0), (3, 12), (9, 36)?
- Michael has a water pump that will pump water at the rate of 5 gallons per minute. How do you use a direct variation formula to determine how many minutes it will take the pump to remove 60 gallons of water?
- How do you write an equation in the form f(x) = kx^n for the direct variation functions given f(0.3) = 45 and n = 2?
- Is #3x=y# a direct variation and if so, how do you find the constant?
- X varies directly as y, and x= 153 when y=9. How do you find x when y=13?
- Does the equation #y=8# represent a direct variation and if so, identify the constant of variation?
- Is #5x-6y=0# a direct variation equation and if so what is the constant?
- Your weight on Mars varies directly with your weight on Earth. A person weighing 125 lbs on Earth weights 47.25 lbs on Mars, since Mars has less gravity. If you weigh 155 lbs on Earth, how much will you weigh on Mars?
- Is the equation #6x^2+3y=0# an example of direct variation?
- Assuming that y varies directly x, if y = 1/4 when x = 1/8, find x when y = 3/16?
- Is #8y=x# a direct variation equation and if so what is the constant?
- Given y inversely proportional to x and x = 3 for y = 6, what is x if y = 9?
- The number of miles Abigail’s boat travels, m, varies directly with the amount of time Abigail spends boating, t. If she spends 2 h in her boat, she travels 19 mi. How do you model this with a direct linear variation?
- Is #y=3/4x-7# a direct variation equation and if so, what is the constant of variation?
- The variables x and y vary directly. When x = 12, y = 9. How do you write an equation that relates the variables?
- How do you name the Constant of Variation in the equation, #y=x#?
- If y varies jointly with p and q. When p = 3 and q = 3, y = 90, how do you find y when p = 7 and q = 5?
- Does the equation #3x - 6y = 0# represent a direct variation and if so, identify the constant of variation?
- How do you write the equation of a direct variation that includes the point (-6,1)?