Connecting Graphs and Exponential Equations
Connecting Graphs and Exponential Equations
Investigate how changes to linear and exponential graphs are reflected in their equation and how they model real-world situations.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open vraag 1
Select Exponential Model, and modify the graph so that the number of views per day starts at 240, and doubles after one day. Use the graph to approximate the number of views there will be 4 days after posting. Now, change to a linear model without modifying any other inputs, and use the graph to estimate the number of views there will be 4 days after posting. How would you explain these results to someone who is unfamiliar with linear and exponential growth?
Tekst en wiskundige invoer
Open vraag 2
Modify the graph so that the number of views per day starts at 960, and equals 320 after one day. Select Exponential Model and use the graph to estimate the number of views there will be after 5 days. Now, change from an exponential model to a linear model. How would you interpret the results?
Tekst en wiskundige invoer
Open vraag 3
Select Exponential Model. Change the number of views at day 0 to 960 and the number of views at day 1 to 960. Use the graph to estimate the number of views after 5 days. Change to Linear Model, and estimate the number of views after 5 days. Can you explain the results?
Tekst en wiskundige invoer