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It would take 29.3 years for the turtle population to be 700.
Exponential function
An exponential function is in the form:
y = abˣ
where y,x are variables, a is the initial value of y and b is the multiplier.
p represent the turtle population after y years.
Given that:
- From the equation, a = 400, hence the turtle population was 400 at first.
- b = 5/4 > 1, hence the population is increasing
For p = 700:
700 =
log(700) = ylog(5/4)
y = 29.3 years
It would take 29.3 years for the turtle population to be 700.
Find out more on Exponential function at: brainly.com/question/12940982