Question

A paleintologist finds a human bone and determines that the carbon-14 found in the one is 85% of that found in living bone tissue. how old is the bone?

Answer 1

The age of the bone is an illustration of exponential function

The bone is 1354.3 years old

How to determine the age of the bone

From the complete question, the function is represented as:

$y = ae^{-0.00012t$

The proportion of the bone is 85% or 0.85

So, we have:

$0.85a = ae^{-0.00012t$

Divide through by a

$0.85 = e^{-0.00012t$

Take the natural logarithm of both sides

$-0.16252 = -0.00012t$

Divide through by -0.00012

$t = 1354.3$

Hence, the bone is 1354.3 years old

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