Question

destiny is making apple crisp. she will need a total of 12 apples for the filling. she will use a mixture of green and red apples to get the perfect balance of tart and sweet. destiny plans to use at most 9 green apples; the rest will be red apples. let g represent the number of green apples that destiny might use. which inequality models the story? g ≥ 12, g ≥ 9, g ≤ 12, g ≤ 9. graph the inequality that models the story. to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it. 5 6 7 8 9 10 11 12 13 14 15

Explanation:

Step1: Analyze the problem

We know that Destiny will use at most 9 green apples. "At most" means the number of green apples \( g \) can be 9 or less. So the inequality should represent \( g \) being less than or equal to 9.

Step2: Evaluate the options

• \( g\geq12 \): This would mean she uses 12 or more green apples, which is not possible since total apples are 12. Eliminate.
• \( g\geq9 \): This means 9 or more green apples, but she can use at most 9. Eliminate.
• \( g\leq12 \): While the total apples are 12, the constraint is about green apples being at most 9, not 12. Eliminate.
• \( g\leq9 \): This correctly represents that the number of green apples \( g \) is less than or equal to 9.

For graphing \( g\leq9 \):

• The endpoint is at 9 (since it's \( \leq \), the endpoint is closed).
• The arrow points to the left (since we want values less than or equal to 9).

Answer:

The inequality is \( g \leq 9 \). For the graph, plot a closed circle at 9 and draw an arrow to the left (towards lower numbers) on the number line.