To complete the table for the constant relationship, we need to find the difference between the costs for each consecutive pair of sticker quantities.
Let's look at the table:
| Quantity of Stickers | Cost |
|---------------------|------|
| 100 | $50 |
| 200 | ? |
| 300 | ? |
| 400 | ? |
Let's find the difference between the cost for 200 stickers and 100 stickers.
Cost difference = Cost for 200 stickers - Cost for 100 stickers
We don't have the cost for 200 stickers in the table, so let's assume it is $x.
Cost difference = $x - $50
Similarly, we can find the difference for the remaining pairs:
Cost difference for 300 stickers = $y - $x
Cost difference for 400 stickers = $z - $y
Since the question states that the cost increases at a constant rate, the cost difference for every pair of consecutive sticker quantities should be the same.
Therefore, the differences between the costs for the pairs 100-200, 200-300, and 300-400 should all be the same.
By finding the common difference, we can complete the table.
Brynn owns a printing company that makes customized stickers. The cost to print a batch of customized stickers increases at a constant rate with respect to the number of stickers ordered. Use the information in the table to complete the table for this constant relationship.
Explain your reasoning.
1 answer