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A scientist is researching the effects of caffeine - AQA - A-Level Maths: Pure - Question 10 - 2018 - Paper 1
Question 10
A scientist is researching the effects of caffeine. She models the mass of caffeine in the body using $$m = m_0 e^{-kt}$$ where $m_0$ milligrams is the initial mas... show full transcript
Worked Solution & Example Answer:A scientist is researching the effects of caffeine - AQA - A-Level Maths: Pure - Question 10 - 2018 - Paper 1
Step 1
Step 2
Use $m = m_0 e^{-kt}$ with $m_0 = 400$ and $k \approx 0.1216$ to find $m$ at $t = 4$
Answer
At midday (4 hours after 8 am), we substitute mg (2 cups of coffee) and into the model: Calculating this gives: Thus, the estimated mass of caffeine in the scientist's body at midday is approximately 246 mg.