Bathtub Problem

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  • It's been 40 seconds and there's still 13 gallons of water left in the tub! When it's been 1 minute I'm going to pull the plug.
  • It's been a minute and 10 gallons are left. That means, every 20 seconds 3 gallons is gone. In fraction form it's 3/20. To understand this more, I'm going change this into a rate of change.
  • The dependent variable is (y) and it represents gallons of 10 and 13. The independent variable is (x) and it represents time of 40 seconds to a minute.
  • Next, I need to find the y intercept. To do this I'm going to use the formula y =mx + b. So now I get rid of the the variables and add my own data. y= 3/20+19. I added the 3/20 because every 20 seconds 3 gallons is gone. Then I added the + 19 because there were 19 gallons in the bathtub before I started draining.
  • Finally, the last part! The x intercept, which would be 0 because in the tub at the beginning of the draining process there were 19 gallons in the tub, and when you start draining, the time will start at 0 seconds!
  • Good thing I figured this out! I didn't want to have a flood in the bathroom!
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