Solve
-The Population of a Particular City Is Increasing at a Rate

question 9

Multiple Choice

Solve.
-The population of a particular city is increasing at a rate proportional to its size. It follows the function $\mathrm { P } ( \mathrm { t } ) = 1 + \mathrm { ke } ^ { 0.12 \mathrm { t } }$ where $\mathrm { k }$ is a constant and $\mathrm { t }$ is the time in years. If the current population is 50,000 , in how many years is the population expected to be 125,000 ? (Round to the nearest year.)

• A) \(8 \mathrm { yr }\)
• B) \(3 \mathrm { yr }\)
• C) \(60 \mathrm { yr }\)
• D) \(5 \mathrm { yr }\)

---

Definitions:

Federal Regulations

Rules set by the federal government to control and guide the practices of businesses, individuals, and other organizations within the country.

Mortgage Lending Standards

Criteria used by banks and financial institutions to determine the eligibility of borrowers for a mortgage.

Down Payment

An upfront payment made when purchasing an expensive item or property on credit, representing a percentage of the total purchase price.

Housing Prices

The monetary values assigned to homes and apartments in the real estate market, influenced by factors such as location, demand, and economic conditions.