Question
Step 4 Using y(t) = 110ekt, and the fact that y(30) = 75, we can solve for k. y(t) -110kt = y(30) = k.
Step 4 Using y(t) = 110ekt, and the fact that y(30) = 75, we can solve for k. y(t) -110kt = y(30) = k. 110e 30-> 30 75- 75 k-30 30 = 110e Thus, we have the following equation. k = 1 30In 15 22 130 In 30 22 15 (1) Step 5 Substituting the value of k found above, we have y(t) = 110e (1/30)tin (15/22). Now, substitute for t = 70 to find the temperature of the turkey after 70 minutes. (Round you answer to the nearest whole number.) y(70) 110e(1/30) 70 In(15/22) = 540 X Thus, we have the following. T(70) y(70)+75 = 540 X +75
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