SOLUTION: The number of fish in a pond, at one year intervals, is given in the table:
Time (years) 1 2 3 4
Number 34 60 78 84
After graphing the data, Bridget determines that the func
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: The number of fish in a pond, at one year intervals, is given in the table:
Time (years) 1 2 3 4
Number 34 60 78 84
After graphing the data, Bridget determines that the func
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Question 778522: The number of fish in a pond, at one year intervals, is given in the table:
Time (years) 1 2 3 4
Number 34 60 78 84
After graphing the data, Bridget determines that the function
Y=34.44 + 85.66 log10 x would accurately model the data, as the r^2 value was 0.992.
a) Define the variables that Bridget has used.
b) Verify that Bridget’s model gives reasonable values for the fish population.
Another student, Louise, claims that a cubic function would more accurately model the data.
c) Why would she have chosen a cubic function?
d) Find the cubic model, with coefficients correct to 2 decimal places, and the r^2 value.
e) Which model would be more suitable for long term modelling of the fish population? Justify your answer!
