SOLUTION: 2) 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, Brigitte determines that the f
Algebra ->
Graphs
-> SOLUTION: 2) 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, Brigitte determines that the f
Log On
Question 778524: 2) 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, Brigitte determines that the function
Y=34.44 + 85.66 log10 x would accurately model the data, as the r2 value was 0.992.
a) Define the variables that Brigitte has used.
b) Verify that Brigitte’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 r2 value.
e) Which model would be more suitable for long term modelling of the fish population? Justify your answer!
