SOLUTION: [ Jessica is saving for college using a direct deposit from her paycheck into a saving account. The function S(t) = 3045 - 52.50t represents the amount of money S(t) still needed a

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: [ Jessica is saving for college using a direct deposit from her paycheck into a saving account. The function S(t) = 3045 - 52.50t represents the amount of money S(t) still needed a      Log On


   



Question 813106: [ Jessica is saving for college using a direct deposit from her paycheck into a saving account. The function S(t) = 3045 - 52.50t represents the amount of money S(t) still needed after t weeks. Find the zero ( S(t) = 0 ) of this function. What does this value mean in this context? ]
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
S(t) = 3045 - 52.50t
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put the above equation into slope-intercept form:
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S(t) = -52.50t + 3045
where:
slope = -52.50
y-intercept = 3045
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the zero (S(t)=0, aka x-intercept) of this function is:
S(t) = -52.50t + 3045 = 0
-52.50t = -3045
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t=58, S(t)=0
(58, 0)
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What does (58, 0) mean in this context?
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it means that Jessica must save for 58 weeks in order to have $3045 in her account.
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