The cost to send a package at the post office is $0.33 for the first ounce plus $0.22 for each additional ounce. The equation that represents this situation is y = 0.22x + 0.33 where y represents the cost of mailing the package and x represents the cost for each additional ounce over 1 ounce.
Let’s look at a table of data that represents this situation.
Weight over 1 ounce, x (in ounces) |
Total Cost, y (in dollars) |
0 |
0.33 |
1 |
0.55 |
2 |
0.77 |
3 |
0.99 |
4 |
1.21 |
If you look at the column headings of the table, you will see that the meaning of slope can be found by writing the column headings in the rise over run rise run formula. rise over run rise run = total cost over weight in ounces total cost weight (in ounces), or the cost per ounce = 0.22
Answer the following questions in your notes.
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The graph of y = 0.22x + 0.33 is shown below.
1. What does the slope represent in this situation?
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2. What does the point (0, 0.33) represent in this situation?
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