A line that includes the point (-8,-3) has a slope of -1/9. What is it’s equation in point-slope form?
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<u>Finding the Decay constant(λ):</u>
λ = 0.693 / (half-life)
we are given that the half-life is 36 hours
λ = 0.693 / (36)
λ = 0.01925 /hour
<u>Time taken for 87% decay:</u>
Since decay is first-order, we will use the formula:
Where A₀ is the initial amount and A is the final amount
Let the initial amount be 100 mg,
the final amount will be 87% of 100
Final amount = 100*87/100 = 87 mg
<em>Replacing the values in the equation: </em>
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t = 7.18 hours
<em>We used 'hours' as the unit because the unit of the decay constant is '/hour'</em>
Therefore, the drug will decay to 87% of initial dosage after 7.18 hours