Growth: The length L, in inches, of a certain flatfish is given by the formula Here t is the age of the fish, in years, and both formulas are valid from the age of 1 year. a. Make a graph of the...

Growth: The length L, in inches, of a certain flatfish is given by the formula

Here t is the age of the fish, in years, and both formulas are valid from the age of 1 year.

a. Make a graph of the length of the fish against its age, covering ages 1 to 8.

b. To what limiting length does the fish grow? At what age does it reach 90% of this length?

c. Make a graph of the weight of the fish against its age, covering ages 1 to 8.

d. To what limiting weight does the fish grow? At what age does it reach 90% of this weight?

e. One of the graphs you made in parts a and c should have an inflection point, whereas the other is always concave down. Identify which is which, and explain in practical terms what this means. Include in your explanation the approximate location of the inflection point.