To determine the correct inequality for the situation described, we can break it down step by step:
- Aspen scored a minimum of 18 points.
- She scored 6 points from free throws (which are worth 1 point each).
- The rest of her points were scored from 3-point shots.
Let \( p \) be the number of 3-point shots. Each 3-point shot is worth 3 points, so the points from 3-point shots can be represented as \( 3p \).
The total points scored by Aspen can be expressed as:
\[ \text{Total Points} = \text{Points from Free Throws} + \text{Points from 3-Point Shots} \] \[ \text{Total Points} = 6 + 3p \]
Since she scored at least 18 points, we need to set up the inequality:
\[ 6 + 3p \geq 18 \]
To find the appropriate option from the given choices, let's simplify this inequality step by step:
- Subtract 6 from both sides: \[ 3p \geq 18 - 6 \] \[ 3p \geq 12 \]
Thus, the correct inequality that can be used to determine \( p \), the number of 3-point shots that Aspen made, is:
\[ 3p + 6 \geq 18 \]
So, the answer is:
3. \( 3p + 6 \geq 18 \)