Unit 6 - Lesson 4 - Grade 8: Illustrative Mathematics

If a car weighs 1,750 kg, would you expect its fuel efficiency to be closer to 22 mpg or to 28 mpg? Explain your reasoning.

Two diamonds that both weigh 1.5 carats have different prices. What are their prices? How can you see this in the table? How can you see this in the graph?

The model predicts that when the weight is 1.5 carats, the price will be $7,189. How can you see this in the graph? How can you see this using the equation?

One of the diamonds weighs 1.9 carats. What does the model predict for its price? How does that compare to the actual price?

Find a diamond for which the model makes a very good prediction of the actual price. How can you see this in the table? In the graph?

Find a diamond for which the model’s prediction is not very close to the actual price. How can you see this in the table? In the graph?

Estimate the widths of the longest foot and the shortest foot.

Estimate the lengths of the widest foot and the narrowest foot.

Circle the data point that seems weird when compared to the model. What length and width does that point represent?

What is the approximate width of this foot?