Question

johnny wants to make a sandwich platter for a party. he is buying supplies at the deli. he plans to order 8.5 pounds of turkey meat and at least 9.25 pounds of cheese. let c represent the amount of cheese, in pounds, that johnny might buy. which inequality models the story? options: c ≥ 8.5, c ≥ 9.25, c ≤ 8.5, c ≤ 9.25. 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. number line from 8 to 10.5 with marks at 8, 8.25, 8.5, 8.75, 9, 9.25, 9.5, 9.75, 10, 10.25, 10.5.

Explanation:

Part 1: Choosing the Inequality

Step1: Understand the Problem

Johnny plans to buy at least 9.25 pounds of cheese. Let \( c \) be the amount of cheese in pounds. "At least" means the amount of cheese is greater than or equal to 9.25.

Step2: Translate to Inequality

The phrase "at least 9.25" translates to \( c \geq 9.25 \).

Step1: Identify the Endpoint

For the inequality \( c \geq 9.25 \), the endpoint is at 9.25. Since the inequality is "greater than or equal to", the endpoint is a closed circle (because 9.25 is included in the solution set).

Step2: Determine the Direction of the Ray

Since \( c \) is greater than or equal to 9.25, the ray should extend to the right (towards positive infinity) from the endpoint at 9.25.

Answer:

\( c \geq 9.25 \) (corresponding to the option \( c \geq 9.25 \))

Part 2: Graphing the Inequality