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Ocean sunfishes are well-known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, t, in days, since an ocean sunfish is born, and its mass, M(t) in milligrams, is modeled by the following function:

M(t)=(1.35)t6+5
Complete the following sentence about the daily percent change in the mass of the sunfish.
Round your answer to the nearest percent.
Everyday there is a _____% (addition or removal from) the mass of the sunfish.
A. 30%
B. 35%
C. 40%
D. 45%

1 Answer

5 votes

Final answer:

The question asks for the daily percent change in the mass of an ocean sunfish based on a given mathematical function. The function provided does not allow for a straightforward calculation of daily percent change without additional context or a specified time frame. Therefore, an accurate answer cannot be provided based on the information given.

Step-by-step explanation:

The student is asking about the daily percent change in mass for an ocean sunfish based on a given mathematical model. The function provided is M(t)=(1.35)t6+5, which models the mass in milligrams as a function of the elapsed time in days. To find the daily percent change, we would typically take the derivative of M(t) to find the rate of change at a particular point in time and then calculate the percent change from the current mass. However, since we're not given a specific time t and the function does not explicitly define a rate, finding an exact daily percent change from this equation isn't straightforward without more context or information about the time period of interest.

It is important to note that this function shows that the mass is dependent on t to the sixth power, indicating dramatic increases in mass as time goes on—a feature that does mimic the known rapid growth of ocean sunfish. However, without additional context or instructions on how to approach this particular model, providing a specific daily percent increase from the given mathematical model is not possible. Therefore, as an approximation or estimation is not requested, it is more appropriate to avoid giving an incorrect answer.

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