Question

7. The length (in centimeters) of a scalloped hammerhead shark can be

modeled by the function = 266-219e-0.05t, where t is the age (in years) of
the shark.
a. How old is a shark that is 200 centimeters long?
2.11
b. How long is a shark that is twice as old as the shark in part (a)?

Answer 1

Answer: a. To find the age of a shark that is 200 centimeters long, we can set the function equal to 200 and solve for t:

L = 266 - 219e^(-0.05t)

200 = 266 - 219e^(-0.05t)

Solving this equation for t, we get t ≈ 2.11 years.

b. To find the length of a shark that is twice as old as the shark in part (a), we can substitute 2.11*2= 4.22 for t into the function:

L = 266 - 219e^(-0.05(4.22))

This will give us the length of the shark that is twice as old as the shark in part (a) in centimeters.