Question

1. san diego, california had an estimated population of 1,322,000 in 2012. assuming that the population grows at a rate of approximately 1.43% per year, estimate san diego’s population in 2017.\\(\circ\approx 1,418,285\\)\\(\circ\approx 1,398,712\\)\\(\circ\approx 1,802,598\\)\\(\circ\approx 1,523,050\\)

Explanation:

Step1: Define growth formula

We use the exponential growth formula:
$$P(t) = P_0(1 + r)^t$$
where $P_0=1,322,000$, $r=0.0143$, $t=5$

Step2: Calculate time difference

$2017 - 2012 = 5$ years

Step3: Compute growth factor

$$(1 + 0.0143)^5 = (1.0143)^5 \approx 1.0736$$

Step4: Find final population

$$P(5) = 1,322,000 \times 1.0736 \approx 1,419,285$$

Answer:

≈ 1,419,285