The points on the graph represent the average resale price, in dollars, of a toy as a function of time.
Use the information to predict the average resale price of the toy on day 12. Explain your reasoning.
How confident are you in your predictions? Explain your reasoning.
18.2
Activity
The graph shows the average resale price for a toy, in dollars, as a function of time, in days.
Coordinate plane, horizontal, time in days, 0 to 25 by 5, vertical, price in dollars, 0 to 40 by 10. Lines connect the points 0 comma 5, 1 comma 6, 2 comma 10, 3 comma 12, 4 comma 11, 5 comma 16, 6 comma 17, 7 comma 20, 8 comma 22, 9 comma 22, 10 comma 25.
Estimate the average rate of change for the first 10 days.
Estimate the rate of change for the last 2 days shown.
Write a linear function, , that models the data.
Predict the price of the toy after 12 days.
18.3
Activity
After a few more days, a graph of the average price of the toy looks like this.
Coordinate plane, horizontal, time in days, 0 to 25 by 5, vertical, price in dollars, 0 to 40 by 10. Points are scattered along an imaginary line between 0 comma 5 and 10 comma 25. Points are scattered along an imaginary line between 15 comma 12 and 24 comma 29.
Draw the graph of a function (it does not need to be linear) that could model the data.
Use your graph to predict the average price of the toy after 12 days. How confident are you in this answer?
Pause here to get additional information from your teacher about the price of the toy. Based on the new information, do you have a new prediction for what happens to the average price of the toy after 12 days? Explain your reasoning.