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:
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.
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.
To find the victim's body temperature now, we need to substitute h with the number of hours passed since the body was put in the freezer. In this case, the victim was killed 7 hours ago, so we'll substitute h with 7 in the function.
B(7) = 10 + 88.6(0.97)^7
Calculating this:
B(7) = 10 + 88.6(0.9126)
B(7) = 10 + 80.72036
B(7) = 90.72036
Therefore, the victim's body temperature now should be approximately 90.72036 degrees Fahrenheit.