SOLUTION: (12) The number of electric blankets sold at Jenkin's Home Furnishings from January 1 through December 31 can be represented by the function y= 680cos(pie/6 t) + 708 in which t is

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: (12) The number of electric blankets sold at Jenkin's Home Furnishings from January 1 through December 31 can be represented by the function y= 680cos(pie/6 t) + 708 in which t is       Log On


   

Question 174666This question is from textbook Amsco's Preparing for the Regents Examination Mathematics B
: (12) The number of electric blankets sold at Jenkin's Home Furnishings from January 1 through December 31 can be represented by the function y= 680cos(pie/6 t) + 708 in which t is time in months with t =0 corresponding to january 1. Determine when the fewest electric blankets were sold and how many were sold.
Show work thanks This question is from textbook Amsco's Preparing for the Regents Examination Mathematics B

Answer by stanbon(75887) About Me  (Show Source):
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The number of electric blankets sold at Jenkin's Home Furnishings from January 1 through December 31 can be represented by the function y= 680cos(pie/6 t) + 708 in which t is time in months with t =0 corresponding to january 1. Determine when the fewest electric blankets were sold and how many were sold.
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y = 680cos((pi/6)t) + 708
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The minimum value of cos occurs when the angle is pi radians.
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Equation:
(pi/6)t = pi
t = 6 (time at which the cosine has its minimum value)
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f(6) = 680cos[pi] + 708 = 680*-1 + 708 = 28
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Cheers,
Stan H.