Question

Kai bought his younger sister, Loni, a sticker book and 12 stickers. Each week he gives his sister two new stickers. Let w represent the number of weeks that Loni collects stickers, and let s represent the total number of stickers she has collected. a. Determine the independent and dependent variables. The number of weeks, w, is the ? variable. The total number of stickers, s, is the ? variable.​

Answer 1

• w = independent variable
• s = dependent variable

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Reason:

The number of weeks can be any number from the set {0,1,2,3,...} so we say that this value is independent. It does not depend on the number of stickers.

But the number of stickers does depend on the number of weeks. As w changes, so does the value of 's'.

The equation would be: s = 2w+12

• Plug in w = 0 to find that s = 12. This is the starting amount of stickers.
• Plug in w = 1 to find s = 14. This is the number of stickers after 1 week.
• Plug in w = 2 to find s = 16. This is the number of stickers after 2 weeks.

And so on. Each time 'w' goes up by 1, 's' goes up by 2.