Question
y = 89.976 e - 0.023 t where t = Time Elapsed (minutes) and y = Temperature Difference (in degrees) (a) Use the exponential function
y= 89.976e- 0.023twheret= Time Elapsed (minutes) and
y= Temperature Difference (in degrees)
(a) Use the exponential function to estimate the temperature differenceywhen 35 minutes have elapsed. Report your estimated temperature difference to the nearest tenth of a degree.Show work.
(b) How long will it take for the coffee to reach a temperature of 120 degrees? HINT: We first must find the value of y, which is C - 69. Therefore, y = 120 - 69 = 51. We now use this value of y=51 in the equation and then solve for t = time. Don't forget to follow the rules on solving an exponential equation. You are solving:51= 89.976e- 0.023t:51= 89.976e- 0.023t
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