Question

7: A population of fish initially grows according to the equation P=350(1.09)t12 P = 350 ( 1 . 09 ) , where t is time in years and P is the number of fish. What does 350 represent?​

Answer 1

We have been given that a population of fish initially grows according to the equation
`P=350(1.09)^t`, where where t is time in years and P is the number of fish. We are asked to determine what does 350 represent.

We know that an exponential function is in form
`y=a\cdot b^x`, where,

y = Final value,

a = Initial value,

b = Growth factor,

x = Time.

Upon comparing equation
`P=350(1.09)^t` with standard exponential equation, we can see that the value of 'a' is 350 and growth factor is 1.09.

Therefore, 350 represent initial population of fish.