Two water tanks are being drained at constant rates. Water tank A has 220 gallons of water and is being drained at a constant rate of 5 gallons per minute. Water tank B has 180 gallons of water and is being drained at a constant rate of 3 gallons per minute. Part A How much time, in minutes, do water tank A and water tank B have to be drained in order for them to have the same amount of water? Show all the steps you took find your answer. Part B Which water tank, A or B, will be completely drained first? How much less time, in minutes, will it take this water tank to completely drain than the other water tank? Show or explain how you determined your answer.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Two water tanks are being drained at constant rates.
- Water tank A has 220 gallons of water and is being drained at a constant rate of 5 gallons per minute.
- Water tank B has 180 gallons of water and is being drained at a constant rate of 3 gallons per minute.
Part A
How much time, in minutes, do water tank A and water tank B have to be drained in order for them to have the same amount of water? Show all the steps you took find your answer.
Part B
Which water tank, A or B, will be completely drained first? How much less time, in minutes, will it take this water tank to completely drain than the other water tank? Show or explain how you determined your answer.
For water tank A
after t min remaining water in tank
For water tank B
after t min remaining water in tank
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