The graph shows the relationship between the number of hours Teresa spe
knitting and the number of squares she completes for a blanket. Based on th
equivalent ratios shown in the graph, how many hours does it take Teresa to
knit 265 squares? Show your work.

We start by recognizing that the graph shows a proportional (linear) relationship between the number of hours Teresa knits and the number of squares she completes. This means that the ratio of (squares completed) to (hours spent) stays the same. In other words, if we know one pair of equivalent values from the graph we have

For example, suppose the graph shows that Teresa completes 25 squares in 1 hour. (Any point on the line would work since all ratios are equivalent.) Thus the constant rate is

Let be the number of hours needed to knit 265 squares. Since the two ratios are equivalent we have

To solve for we cross multiply:

Dividing both sides by 25 gives

This simplifies to

So, Teresa takes hours, or 10.6 hours, to knit 265 squares.