Critique Reasoning

A student claims that the equation y = 7 is not a linear equation because it does not have the form \(\text{y} = \text{mx + b}\). Do you agree or disagree? Why?

Make a Prediction

Let x represent the number of hours you read a book and y represent the total number of pages you have read. You have already read 70 pages and can read 30 pages per hour. Write an equation relating x hours and y pages you read. Then predict the total number of pages you will have read after another 3 hours.

Draw Conclusions

Rebecca draws a graph of a real-world relationship that turns out to be a set of unconnected points. Can the relationship be linear? Can it be proportional? Explain your reasoning.

Communicate Mathematical Ideas

Write a real-world problem involving a proportional relationship. Explain how you know the relationship is proportional.

Justify Reasoning

Show that the equation \(\text{y} + 3 = 3(2\text{x} + 1)\) is linear and that it represents a proportional relationship between x and y.