As a certain animal grows, its length increases toward a maximum of 17 inches.  At age t years its length is  measured in inches. The difference  between  the maximum length and the current length  is shown in the table below.

 t 0 1 2 3 D 12.00 10.68 9.51 8.46?
A: Make a table of successive ratios to show that D can be modeled by an exponential function of time. Round your answer to two decimal places.B: Find an exponential model for the data. Round your answer to two decimal places.C: Plot the graph of the data points along with the exponential model. Include up to 10 years.D: Find a formula that gives the length L after t years. Round your answer to two decimal places.

What will be an ideal response?


A:  

?

 Time increment From  to  From  to  From  to
 Ratios of D

?

B:

C:



D:


Mathematics

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