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Question 974782: Need help on how to work this problem and steps on how to solve it....Thank you :)
Based on data from June 2006, the forecast for maximum 5-day snow runoff volumes for the American River at Folsom, CA, can be modeled by
v = f(t) = −2.606t + 131.8
thousand acre-feet, where t is the number of days since the end of May 2006.† That is, the model forecasts the snow runoff for the 5-day period beginning on the selected day of June 2006. Find the inverse function.
f −1(v) =
Determine the value of
f −1(61.8).
(Round your answer to two decimal places.)
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! v = f(t) = −2.606t + 131.8
solve for t
−2.606t = v -131.8
t = -(v - 131.8) / 2.606
now interchange t and v
v = -(t - 131.8) / 2.607, therefore
f-1(t) = -(t - 131.8) / 2.606
f-1(t) = (131.8 - t) / 2.606
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f-1(61.8) = (131.8 - 61.8) / 2.606
f-1(61.8) = 26.861089793 approx 26.86
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