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*(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 need to plug in h=7 into the equation:
B(7) = 10 + 88.6*(0.97)^7
Using a calculator, we get:
B(7) ≈ 43.4
Therefore, the victim's body temperature now is approximately 43.4°F.
To find the victim's body temperature after being in the freezer for 7 hours, we need to substitute h = 7 into the formula B(x) = 10 + 88.6 * (0.97)^h.
B(x) = 10 + 88.6 * (0.97)^7
To calculate this, we need to substitute h = 7 into the formula and simplify.
B(x) = 10 + 88.6 * (0.97)^7 = 10 + 88.6 * 0.811408629 = 10 + 71.9022609834
Now, adding 10 and 71.9022609834 will give us the victim's body temperature after 7 hours:
B(x) ≈ 10 + 71.9022609834 ≈ 81.9022609834
Therefore, the victim's body temperature now, after being in the freezer for 7 hours, should be approximately 81.9 degrees Fahrenheit.