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
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
Answers
GPT-4o mini
To represent the total number of plants in Iliana's garden, we are given that she cubed the number of flowering plants (which is represented by \( p \)) and then added 2 vegetable plants. The expression that best represents this scenario is:
\[ p^3 + 2 \]
Now, if we substitute \( p = 3 \) into the expression:
\[
p^3 + 2 = 3^3 + 2 = 27 + 2 = 29
\]
Thus, when \( p = 3 \), the total number of plants in her garden is 29.
So the correct option is:
- \( p^3 + 2; \text{ when } p = 3 \text{ the number of plants is } 29 \).
\[ p^3 + 2 \]
Now, if we substitute \( p = 3 \) into the expression:
\[
p^3 + 2 = 3^3 + 2 = 27 + 2 = 29
\]
Thus, when \( p = 3 \), the total number of plants in her garden is 29.
So the correct option is:
- \( p^3 + 2; \text{ when } p = 3 \text{ the number of plants is } 29 \).