Question
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  1. The population of Sacramento is currently 567,345 people. The population has been increasing by
    annually.
    a) Write the exponential function
    b) What will the population be in 10 years? Round your answer to the nearest person.

Ask by Savage Stewart. in the United States
Jan 22,2025

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Answer

a) The exponential function is .
b) In 10 years, the population will be approximately 585,180 people.

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Mind Expander

To express the population growth, we can use the formula for exponential growth, which is . Here, is the initial population (567,345), is the growth rate (0.0031), and is the time in years. So, the function would be:
.
Now, to find the population in 10 years, plug in :
.
Calculating this gives approximately:
.
Thus, the population in 10 years will be around 585,137 people.
If you’re intrigued by how Oakland or San Francisco evolved similarly, explore their population growth trends too! It’s fascinating to look into how urban areas adapt to increasing populations and changing demographics over the decades.
Additionally, consider how this growth impacts local resources, housing, and infrastructure. Cities must plan for population changes to ensure that transportation, schools, and healthcare are adequately supported. A keen eye on these developments can help predict future needs and policy decisions!

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