1. **State the problem:** We need to write an equation for the population $P$ of a town $x$ years after 2003, given that the population was 40,000 in 2003 and grows by 2200 people each year.
2. **Formula for linear growth:** The population grows linearly, so we use the formula:
$$P = P_0 + rx$$
where $P_0$ is the initial population, $r$ is the rate of growth per year, and $x$ is the number of years after 2003.
3. **Identify values:** Here, $P_0 = 40000$ and $r = 2200$.
4. **Write the equation:**
$$P = 40000 + 2200x$$
5. **Find the population in 2009:** Since 2009 is 6 years after 2003, substitute $x=6$:
$$P = 40000 + 2200 \times 6$$
$$P = 40000 + 13200$$
$$P = 53200$$
**Final answer:** The population equation is $P = 40000 + 2200x$ and the population in 2009 is 53200.
Population Growth E8Bd44
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