8. Slope
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Can you connect the points with one straight line that passes through the origin?
No, see solution.
Before we begin, let's create a table of values using the information from the exercise.
| Number of Sandwiches | 1 | 2 | 3 |
|---|---|---|---|
| Cost ($) | 5 | 9.9 | 14.25 |
To know if the data given in the table represents a proportional relationship, let's first plot the points as (x,y) coordinate pairs.
Next, we will connect the points we graphed and extend the line to the y-axis. Recall that the graph of a proportional relationship is a single, straight line in the coordinate plane that passes through the origin.
As we can see, the line passes through the origin, but is not a straight line. Therefore, the cost is not proportional to the number of sandwiches.