Skip Navigation
You are viewing an older version of this Concept. Go to the latest version.

Applications of Exponential Functions

Word problems with variables as exponents

Atoms Practice
Estimated27 minsto complete
Practice Applications of Exponential Functions
This indicates how strong in your memory this concept is
Estimated27 minsto complete
Practice Now
Turn In
Solar PV System
Teacher Contributed

Real World Applications – Algebra I


How much energy could solar panels save for homeowners?

Student Exploration

For this activity, you will need a graphing calculator.

Hook: Watch this video:

Below is a table representing the annual savings on the electricity bill for a homeowner in Los Angeles, CA with a 5.5-kilowatt photovoltaic solar panel system. This system offsets 95% of the homeowner’s electricity use. With electricity rates increasing a certain percentage every year, the homeowner’s savings increased as well.

Year Annual Savings
2010 $1,175.35
2011 $1,245.87
2012 $1,320.62
2013 $1,399.86
2014 $1,483.85
2015 $1,572.88
2016 $1,667.26
2017 $1,767.29
2018 $1,873.33
2019 $1,985.73
2020 $2,104.87
2021 $2,231.17
  1. Do you think this data represents a linear, exponential or quadratic relationship? Why?
  2. Plot this table in your graphing calculator and create a scatter plot. What are some observations you can make about the data points?
  3. Determine the exponential regression line that fits this data. Write down the equation, and round to the nearest tenth.
    1. What is the initial value? What do you think this means in relation to this situation?
    2. What is the growth factor for this exponential equation? What do you think this represents in relations to this situation?
  4. Using your graph, what do you think the homeowner’s savings will be in 2030? Why? How did you find your answer? Does it make sense?

Resources Cited


Connections to other CK-12 Subject Areas

Earth Science

  • same hook

Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes
Show More

Image Attributions

Explore More

Sign in to explore more, including practice questions and solutions for Exponential Growth.
Please wait...
Please wait...