SOLUTION: Please help. I am extremely clueless. Help will be greatly appreciated! Waters being pumped out of a pool. The number of gallons of water "W" left in the pool at time "T" in minute

Algebra ->  Test -> SOLUTION: Please help. I am extremely clueless. Help will be greatly appreciated! Waters being pumped out of a pool. The number of gallons of water "W" left in the pool at time "T" in minute      Log On


   

Question 417910: Please help. I am extremely clueless. Help will be greatly appreciated! Waters being pumped out of a pool. The number of gallons of water "W" left in the pool at time "T" in minutes can be modelled by W(T)=7t plus 350. Please find the t intercept and explain what it represents in this problem. You guys have been so amazing so far. Please don't let me down!! Thanks!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Water is being pumped out of a pool. The number of gallons of water "W" left in the pool at time "T" in minutes can be modelled by W(T)=7t plus 350. Please find the t intercept and explain what it represents in this problem.
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W(t) = 7t + 350
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t-intercept:
Let W = 0 and solve for "t":
7t + 350 = 0
7t = -350
t = -50
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That t-intercept doesn't represent anything.
t = -50 is not in the domain of the function.
t is time and it starts at 0. The negative
t value is meaningless.
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On the other hand, the W-intercept is 350
It is the amount of water in the pool at time t= 0.
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Cheers,
Stan H.