Which figure is missing in the pattern?
2 answers:
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Answer:
- <u>Rule in words:</u>
The number of packages Justin needs to buy to get x cards is x divided by 3.
- <u>Rule as an algebraic expresssion:</u>
Explanation:
This is a direct variation problem.
Since each package has the same number of cards, the number of cards is proportional to the number of packages.
12 baseball cards in 4 packages means that there are 12/4 = 3 cards per package, so:
- The number of cards is 3 times the number of packages.
- The number of packages is the number of cards divided by the number of 3.
So, the <em>rule in words</em> for the number of packages Justin needs to buy x cards is one third of x. This table may help you to visualize it:
Number of packages: 1 2 3 4 5
Number of cards: 3 6 9 12 15
To find the <em>algebraic expression</em> that describes the same rule, you can set the following proportion:
Where y is the number of packages and x is the number of cards.
And from that you solve for y: