The volume V of air remaining in an inflated balloon can be modeled by the
function = 1,000(0.85) where x represents the number of days that have
passed since inflating the balloon. What is the reasonable domain for the
situation? Explain.
(pls I need the correct answer)
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What is the reasonable domain for the given situation:
Explanation:
- It is a ridiculous equation to model the volume of remaining air, since it means that the volume of remaining air increases instead of decreasing.
- After 1 day, x=1, so V(1) = 1000* (0.85)* (1) = 850.
- A reasonable alternative might be: V = 1,000 e^(-0.85 x).
- This would imply continuous but ever slowing decrease in volume, not ceasing until x is infinite.
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