To create a tape diagram that represents Landon's purchase of cookies and lemons, we can break down the information given:
- Total Cost: Landon pays a total of $29.12.
- Cost of Cookies: He pays $2.66 for cookies.
- Cost of Lemons: He buys 7 bags of lemons, and we will denote the cost of each bag as \( x \).
Now, let’s represent this situation in a tape diagram:
- Total Amount: Draw a large rectangle to represent the total cost of $29.12.
- Cost of Cookies: Inside this rectangle, highlight a smaller section that represents the $2.66 spent on cookies.
- Cost of Lemons: The remaining part of the rectangle represents the total cost of the lemons. Since he buys 7 bags of lemons at a cost of \( x \) per bag, the total cost for the lemons can be represented as \( 7x \).
The tape diagram would effectively look like this:
- A large rectangle labeled "$29.12" (total).
- A smaller rectangle inside it labeled "$2.66" (cost of cookies).
- The remaining area of the large rectangle can be labeled \( 7x \) (total cost of lemons).
The equation that represents this context would be: \[ 2.66 + 7x = 29.12 \]
This tape diagram visually represents how the total cost is divided between the cookies and the lemons, with \( x \) being the variable for the cost of each bag of lemons.
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