Question
Determine whether the following represents
continuous growth, continuous decay, or neither.
continuous growth, continuous decay, or neither.
Ask by Stuart Potter. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The function
represents continuous decay.
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Beyond the Answer
The equation
represents continuous decay. This is evident because the exponent of
is negative (-5t), which indicates that the quantity decreases as time
increases. In continuous decay models, we typically see a constant reduction over time rather than growth.
You can find applications of continuous decay in various fields, such as biology, where it can describe population decline, and in physics, where it can explain radioactive decay. For example, if a certain substance has a half-life, knowing its continuous decay formula can help predict how much will remain after specific intervals.