Question

Mexico City, Mexico, is the world's second largest metropolis and is also one of its fastest-growing cities with a projected growth rate of 3.2% per year. Its population in 1991 was 20,899,000 people. Use the formula P = 20.899e^0.032t to predict its population P in millions with t equal to the number of years after 1991. What is the predicted population to the nearest thousand of Mexico City for the year 2010?

Answer 1

38386000

Explanation:

got it right on edge

Answer 2

Predicted population of Mexico City in year 2010 = 38386000

Explanation:

Formula to be used for the population of Mexico,

P = 20.899
`e^(0.032t)`

Where t = Duration after year 1991

P = Final population

Number of years between 2010 and 1991 = 19 years

Predicted population of Mexico city after 2010 = 20.899
`e^(0.032* 19)`

= 20.899 × (1.8368)

= 38.38633 million

= 38.386 million

Therefore, predicted population of Mexico City in year 2010 = 38386000