Example Question - mathematical model
Here are examples of questions we've helped users solve.
Butterfly Population Growth Calculation
The given function is \( f(x) = 2,000(1.055)^x \), where \( x \) represents the number of years, and \( f(x) \) represents the population of butterflies. To find the population after 7 years, we substitute \( x \) with 7: \( f(7) = 2,000(1.055)^7 \) Using a calculator, we find: \( f(7) ≈ 2,000(1.455) \) \( f(7) ≈ 2,910 \) The closest answer to 2,910 is about 2,900, so the correct answer is: A) about 2,800
Analyzing Drug Concentration in a Patient's Bloodstream Model
It appears that you've shared an image depicting a mathematical model concerning the concentration of a drug in a patient's bloodstream over time. The model provided is \( D(t) = 50e^{-0.2t} \), where \( D(t) \) represents the number of milligrams of the drug remaining in the patient’s bloodstream after \( t \) hours. In order to solve any problems using this equation, I would need the specific question you are looking to answer. This could involve finding the amount of drug remaining after a certain number of hours, the rate at which the drug is metabolizing at a certain time, or the time it takes for the drug concentration to fall to a certain level. Please provide the specific question you need help with.
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