1. Tell whether you think it is reasonable to have points between the ones on each graph. Explain your answer.

I do not think it is reasonable to have points between the ones on each graph because it would confuse me with all of the information on the one graph.

2. Draw a graph of a linear relation. Use integer values only. Label your graph. Write a brief description that matches the information on your graph.

Each container of yogurt costs $2, so the value increases by 2 each time (y axis) you have another container of yogurt. (x axis)

3. Use an example to show one way that a graph and a table of values are different and one way that they are similar.

Similarity- Both the graph and the chart can show the same concept. (ex. each carton of milk costs $2.) You also have to label both a graph and a chart.

Difference- On a graph you have to label each axis (x,y) and show each point on a line on the graph. For a chart all you have to do is provide the data of each point and label the two sections x(____________ ) and y(____________.) (ex. x (cost of milk,) y (number of milk cartons.)

4. The graph shows the increase in total height for each step of a staircase.

a) Describe patterns you see on the graph.

- the graph provides data on the Total Height of Stairs. One step is 20cm high, two steps are 40cm high, three steps are 60cm high, and four steps are 80cm high.

-the points appear to lie in a straight line. The graph shows a linear relation.

-the graph shows that to move from one point to the next you have to move one unit horizontally and one unit vertically.

b) Make a table of values from the graph.

c) If the pattern continues, what is the total height on step 10?

If the pattern continues the total height of 10 steps would be 200cm.

5. The graph shows the maximum number of students allowed on a field trip based on the number of teachers available to supervise.

a) Describe three patterns on the graph.

- the graph provides data on the Field Trip Supervision.

-the points appear to lie in a straight line. The graph shows a linear relation.

- the graph shows that to move from one point to the next you have to move one unit horizontally and one unit vertically.

b) Make a table of values from the graph.

c) If there are eight teachers available for a field trip, what is the maximum number of students who can go?

If there are eight teachers available for a field trip the maximum amount of students that could go would be 48.

Here is a LINK that may help you with linear relations.