SOLUTION: Use the given information to find an exponential model of the form Q = Q0e−kt or Q = Q0ekt, as appropriate. Round all numerical values to three significant digits when rounding i

Question 1190860: Use the given information to find an exponential model of the form Q = Q0e−kt or Q = Q0ekt, as appropriate. Round all numerical values to three significant digits when rounding is necessary.
Q is the amount of radioactive substance with a half-life of 160 years in a sample originally containing 7 grams (t is time in years).
Q =
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!

is the original amount in grams.

We'll use the exponential decay model .
The negative exponent is what causes the decay.

The half-life is 160 years, which means at time t = 160, the initial amount is cut in half to 7/2 = 3.5 grams
Plugging t = 160 leads to Q = 3.5

This is sufficient to help us find k

which is approximate

when rounding to 3 sig figs. The three zeros aren't significant figures.

Answer:

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