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Temperature Difference between Coffee and Room '90? 120 E: g 100 8 30 III.' E 60 0 E 0 40 E 45 20 5 E

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Temperature Difference between Coffee and Room '90? 120 E: g 100 8 30 III.' E 60 0 E 0 40 E 45 20 5 E 0 0 10 20 3O 4O 5O 60 70 Time Elapsed (minutes) Exponential Function of Best Fit (using the data in Table 2): y I 89.976 e '9'023' where t 2 Time Elapsed (minutes) and y 2 Temperature Difference (in degrees) (a) Use the exponential function to estimate the temperature difference y when 25 minutes have elapsed. Report your estimated temperature difference to the nearest tenth of a degree. (explanationfwork optional) (b) Since y = C 69, we have coffee temperature C = y + 69. Take your difference estimate from part (a) and add 69 degrees. Interpret the result by filling in the blank: \"Then 25 minutes have elapsed, the estimated coffee temperature is degrees. (c) Suppose the coffee temperature C is 100 degrees. Then y = C - 69 = degrees is the temperature difference between the coffee and room temperatures. (d) Consider the equation = 89.976 6 '0'023' where the is filled in with your answer from part (c)

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