exponential decay 15.4

Question

A body was found in the basement of the Underwater Basket Weaving Building at​ 12:00 noon​ today, where the temperature is a steady 65 degrees Fahrenheit. When​ found, the core temperature was 91.3 degrees Fahrenheit.  Two hours​ later, at​ 2:00 PM, the core temperature had fallen to 88.3. Assuming that the body temperature was 98.6 at the time of​ death, use​ Newton's law of cooling to find the time of death.  ROUND TO 2 DECIMAL

PLACES.

The time of death was about ____

hours before the body was found.

Answer 1

T(t) = T_s + (T_o - T_s)e^-kt

T_s = 65

T_o = 91.3

t = 2

T(2) = 88.3

Substitute values and solve for k. Use that value to determine time of death.