Question

The population of the city of San Jose, California, was about 1.0 million in mid-2009, with an annual growth rate of about 1.4%. If the growth continues at this same rate, what will the population be in mid-2015?

Answer 1

The projected population of San Jose, California, in mid-2015, assuming a constant annual growth rate of 1.4%, is calculated to be approximately 1,089,543.

Step-by-step explanation:

The question is asking for a calculation of the future population of San Jose, California, based on a given annual growth rate over a specific period of time. To solve this, we will use the formula for exponential growth:

P = P0 × (1 + r)t

Where:

• P is the future population,
• P0 is the initial population,
• r is the annual growth rate (expressed as a decimal), and
• t is the number of years.

Starting with a population of about 1.0 million in mid-2009 and using the annual growth rate of 1.4% (or 0.014 as a decimal), we can calculate the population for mid-2015, which is 6 years later:

P = 1,000,000 × (1 + 0.014)6

Calculating the exponent:

P = 1,000,000 × 1.089543

Now, multiplying the initial population by the growth factor:

P ≈ 1,089,543

So, the projected population of San Jose in mid-2015 is approximately 1,089,543.