Question

1 point For a population that grows at a constant rate of r% per year, the formula P(1) = pol 1 + bo) models the popu- lation 1 years after an initial population of p, people is counted. 100 The population of the city of San Jose was 782,000 in 1990. Assume the population grows at a constant rate of 5% per year. According to this formula, which of the following is an expression for the population of San Jose in the year 2000 ?

Answer 1

The expression for the population of San Jose in the year 2000 is approximately 1,270,719.34 people.

Step-by-step explanation:

To find the expression for the population of San Jose in the year 2000, we can use the formula P(1) = Po * (1 + r)n, where Po is the initial population, r is the growth rate, and n is the number of years.

The initial population of San Jose in 1990 was 782,000, and the growth rate is 5% per year.

Substituting these values into the formula, we get:

P(1) = 782,000 * (1 + 0.05)^10 = 782,000 * (1.05)^10 = 782,000 * 1.628895 = 1,270,719.34

Therefore, the expression for the population of San Jose in the year 2000 is approximately 1,270,719.34 people.