Final answer:
To find Bangladesh's population in 2008 using the function P(t) = 265(1 + 0.0195)^t, we calculate P(8) which does not match any of the given options. The result of the calculation is approximately 310.86 million, which suggests a possible error in the provided options.
Step-by-step explanation:
To calculate the population of Bangladesh in 2008 using the function P(t) = 265(1 + 0.0195)^t, we need to substitute t with the number of years since 2000. Since 2008 is 8 years after 2000, we have t = 8. Plugging this into the equation, we get:
P(8) = 265(1 + 0.0195)^8
Now, we need to calculate the value of (1 + 0.0195)^8 and multiply it by 265:
(1 + 0.0195)^8 ≈ 1.1723 (rounded to 4 decimal places)
Thus, P(8) ≈ 265 × 1.1723 ≈ 310.8595 million.
However, since the options provided do not include this number, there might be a misunderstanding or typo in the provided options. None of the options given (a) 135 million, (b) 147 million, (c) 160 million, (d) 173 million accurately reflect the calculated population of Bangladesh in 2008 according to the given function. Please check the function and the options for any errors.