Answer :
Final answer:
To estimate the population in 1970, we calculate x for that year, substitute it into the formula y = 109.62(1.023)^x, and solve for y, which gives an approximate population of 294.8 million people.
This answer is not reflected in the options provided in the question.
Explanation:
To estimate the population of the country in 1970 using the model y = 109.62(1.023)^x, where y is the population in millions and x is the number of years after 1920, first calculate the value of x for the year 1970: x = 1970 - 1920 = 50. Then substitute x = 50 into the equation:
y = 109.62(1.023)^50
Calculating the result:
y ≈ 109.62 × 2.6894775
y ≈ 294.802 (rounded to three decimal places)
Therefore, the estimated population of the country in 1970 is approximately 294.8 million people, rounding to the nearest tenth.
However, none of the options provided (112.7, 134.5, 89.3, 101.2) match this calculation. There might have been an error in the options or in the calculation process if done manually.
