Inspector Watkins is called to a murder scene. The body was found stuffed in a freezer where the temperature was 10F. The temperature of a human body B in Fahrenheit, after spending h hours in 10F freezer is exponential function:

Question

B(x) = 10 + 88.6 times(0.97)^h What should be the victim's body temperature now if the
victim was killed 7 hours ago? Show work.

Answer 1

To find the victim's body temperature now, we can substitute 7 for h in the given exponential function:

B(7) = 10 + 88.6 times (0.97)^7

B(7) = 10 + 88.6 times 0.7974 (using a calculator to find 0.97^7)

B(7) = 10 + 70.6

B(7) = 80.6°F

Therefore, the victim's body temperature now should be approximately 80.6°F.