Question
Population. The population of a town is estimated by the function $P(t)=6 t^{2}+7 t+6500$ where $t$ is the number of years since 2010 . Estimate what the population of the town will be in 2020 .
Step 1
Since t is the number of years since 2010, we need to find the difference between 2020 and 2010. 2020 - 2010 = 10 So, t = 10. Show more…
Show all steps
Your feedback will help us improve your experience
Mike Gaerlan and 95 other educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A certain city had a population of 200,000 in 2010 and an annual growth rate of 0.8%. Write an equation for the population P as a function the number of years t since 2010. Use the equation in part (a) to predict the population in 2020.
The population of a small town was 500 in 2010 and is growing at a rate of 24 people per year. Find and graph the linear population function $p(t)$ that gives the population of the town $t$ years after 2010. Then use this model to predict the population in 2025.
Functions
Representing Functions
A city's population was 30,700 in the year 2010 and is growing by 850 people a year. (a) Give a formula for the city's population, $P,$ as a function of the number of years, $t,$ since $2010 .$ (b) What is the population predicted to be in $2020 ?$ (c) When is the population expected to reach $45,000 ?$
Functions and Change
Linear Functions
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD