Final answer:
Ana can fit 3 plants on each of her 3 shelves, which can be modeled with the equation 3p + 2 = 11. Solving this equation, we find p = 3. A hanger diagram would show 3 plants on each of two arms and 3 plants in the middle, with 2 plants placed below the hanger.
Step-by-step explanation:
The question involves determining how many plants Ana can place on 3 shelves if each shelf holds the same number of plants, with 2 plants not fitting. To model this situation with an equation, we set the variable p to represent the number of plants that fit on each shelf. Since there are 2 plants that do not fit, we can write an equation that accounts for all the plants:
3p + 2 = 11
To find the value of p, we can subtract 2 from both sides of the equation to get:
3p = 9
Now, we divide both sides by 3 to isolate p:
p = 3
Therefore, Ana can fit 3 plants on each shelf, with 2 plants not being able to fit. Now, let's create a hanger diagram. Picture a hanger with two arms, each representing a shelf. On the left arm, place three plants to symbolize the plants that fit on one shelf. The right arm should be a mirror image with another three plants. The middle of the hanger represents the third shelf with three plants as well. Underneath the hanger, we will place the additional 2 plants that do not fit on the shelves.