# Bathroom

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• Bingo! To fix this we just need to figure out how fast the bathtub is draining its water.
• Oh No! The bathtub is draining water! When is it all going to be gone? Do you have any ideas?
• That seems difficult. How are we going to do this? ﻿
• It really isn't that hard. All you have to do is use what we already know to make a linear equation. I'll help you! we can do this.
•   Perfect! We already know that. ﻿Now we have to make an equation. To do this we need to use slope intercept form. y=mx + b. Where m=slope and b= your y intercept
• Well I know it was draining for 40 seconds and there was 3 gallons in the tub, but now its been 60 seconds and there is now 10 gallons.﻿When it was 50 seconds 11.5 gallons were in the tub and when 20 seconds passed there were 16 gallons
• So in this case,  the y intercept represents the ﻿the amount of gallons in the tub before draining, and the x represents  the amount of time the tub has been draining for. Well then what is slope?
• Slope is the common ratio of how fast the tub drains. Oh look it has now been 80 seconds and there is now only 7 gallons in the tub.
• Ok I follow you. This is way easier then i first thought. ﻿
• To find slope we have todo Y2 -Y1/ X2-﻿x1. So in this case 10-13/60-40=-3/20. See this isn't so hard. Now we have to find our Y intercept. The formula for that is B=y-mx. So first plug in any y coordinate from earlier. Well go with 10. Now we have to plug in our slope(-3/20). and then multiply that by the x coordinate from the y we used earlier. When we do that we would get 19.
• Wow! That's crazy, thanks so much!﻿
• ﻿Yeah it it is isn't it! So from figuring that out we now know our equation is Y=-3/20x + 19. So for every 20 seconds the water goes down 3 gallons. That is all. Easier than you thought.
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