The growth rate of the given function is A) 1
Step-by-step explanation:
Step 1; To calculate the rate we need to see the difference between values at different periods of time. We need to calculate the population at different times.
For t = 1 years, S(t) = 273(1.073)t = 273 × 1.073 × 1 = 292.929,
For t = 2 years, S(t) = 273(1.073)t = 273 × 1.073 × 2 = 585.858,
For t = 2 years, S(t) = 273(1.073)t = 273 × 1.073 × 1 = 878.787.
Step 2; To calculate the growth rate, we divide the difference in the values of the present year and the past year by the value in the past year.
Growth rate between t = 1 and t = 2, Growth rate = S(t=2) - S(t=1) / S(t=1)
= 585.858 - 292.929 / 292.929 = 1.
Growth rate between t = 2 and t = 3, Growth rate = S(t=3) - S(t=2) / S(t=2)
= 878.787 - 585.858 / 585.858 = 1.
So the growth rate is A) 1.
