Question

Iliana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29'

Answer 1

Let's break down the problem step by step.

Iliana first cubed the number of flowering plants, which means she raised the original number of plants (p) to the power of 3 (p^3).

Then, she added 2 vegetable plants, so we need to add 2 to the cubed number.

So, the expression representing the total number of plants in her garden is:

p^3 + 2

Now, if p = 3, we can substitute it into the expression to find the total number of plants when p = 3:

(3)^3 + 2 = 27 + 2 = 29

So, when p = 3, the number of plants is 29.

None of the provided options matches the correct expression and result based on the given problem. The correct expression is p^3 + 2, and when p = 3, the number of plants is 29.