Adead body was found within a closed room of a house where the temperature was a constant 70° f. at the time of discovery the core temperature of the body was determined to be 80° f. one hour later a second measurement showed that the core temperature of the body was 75° f. assume that the time of death corresponds to t = 0 and that the core temperature at that time was 98.6° f. determine how many hours elapsed before the body was found. [hint: let t1 > 0 denote the time that the body was discovered.] (round your answer to one decimal place.)

1.6 hours

Step-by-step explanation:

I started off with T(t)=70+Ce^kt

then since the initial temp was 98.6 I did T(0)=98.6=70+C so C=28.6

Then T(1) = 80 = 28.6e^k + 70

k = ln (10/28.6)

Then plugged that into

T(t)=85=28.6e^ln(10/28.6)t + 70

and got t=.61

The answer says it is about 1.6 hours.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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