Real World Applications – Algebra I
How much energy could solar panels save for homeowners?
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.
- Do you think this data represents a linear, exponential or quadratic relationship? Why?
- Plot this table in your graphing calculator and create a scatter plot. What are some observations you can make about the data points?
- Determine the exponential regression line that fits this data. Write down the equation, and round to the nearest tenth.
- What is the initial value? What do you think this means in relation to this situation?
- What is the growth factor for this exponential equation? What do you think this represents in relations to this situation?
- 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?
Connections to other CK-12 Subject Areas
- same hook