2. a. The graph shows linear points, meaning the cost of classes is dependent on the number of classes being taken.
Like you show in the table you created, it is an additional $20 per class.
2. b. Notice the graph has a point at (0, 60). This shows that the membership fee is $60.
This vertical intercept is the y-intercept.
3. The graph is for Lin, the table is for Noah.
a. Dividing 12 evenly among 2 people results in 6 cups for Lin and 6 cups for Noah. Now, look at the graph on the left that shows the relationship between the amount of sugar and flour needed. With 6 cups of sugar, the next point on the graph would be (6, 3). Each point on the graph has a y-value that increases 0.50 with each additional cup of sugar.
• So, Lin will need 3 cups of flour to complete her recipe using 6 cups of sugar.
Now for Noah, the table shows a whole number, 3, which can be doubled (multiplied by 2) to equal 6. We also need to double the corresponding flour value in the table: 2. 2 x 2 = 4.
• Noah will need 4 cups of flour if he uses 6 cups of sugar in his recipe.
3. b. Splitting 10 cups among 2 people is shown by 10/2 = 5 cups. Lin will have 5 cups of flour as will Noah.
Now focus on the graph for Lin’s recipe; it does not show the y-value 5, however, the point (5, 2.5) is. 2.5 x 2 = 5, and so 5 x 2 = 10.
• For Lin’s recipe, she will need 10 cups of sugar if she uses 5 cups of flour.
Now look at the values for flour in Noah’s table: there are values for both a 3 and 2. 3+2=5. Also add the corresponding sugar values: 3 + 4.5 = 7.5 or 7 1/2 cups.
• If Noah uses 5 cups of flour in his recipe, he will need 7.5 cups of sugar.
I did long explanations to help you understand the best I can. I hope this helps,
Good luck!