Question

Suppose the world population in the second half of the 20th century can be modeled by the equation p(t) = 2,560e0.017185t. use this equation to estimate the average world population to the nearest million during the time period of 1950 to 1980. (note that t = 0 is 1950.)

Answer 1

To estimate the average world population to the nearest million during the time period of 1950 to 1980, we can use the equation p(t) = 2,560e^(0.017185t), where t is the time in years since 1950. To find the average population during this time period, we need to calculate the population at the beginning and end of the time period and take the average.At the beginning of the time period (t = 0), the population is p(0) = 2,560e^(0.0171850) = 2,560. At the end of the time period (t = 30), the population is p(30) = 2,560e^(0.01718530) = 4,434. Therefore, the average population during this time period is (2,560 + 4,434) / 2 = 3,497 million.According to the search results, the world population was 2.5 billion in 1950235.Therefore, the estimated average world population during the time period of 1950 to 1980 was 3,497 million (or 3.5 billion) to the nearest million

Explanation: