Question

3a. a male emperor penguin can lose up to 30 pounds while incubating an egg. write an inequality to represent how much weight a penguin could lose using the variable w.
3b. graph the inequality below.

Explanation:

3A

Step1: Understand the problem

The penguin can lose up to 30 pounds, meaning the weight loss \( w \) is less than or equal to 30.

Step2: Write the inequality

Using the variable \( w \), the inequality is \( w \leq 30 \).

Step1: Analyze the inequality

The inequality is \( w \leq 30 \), which means we are dealing with a number line graph.

Step2: Draw the number line

• Draw a number line.
• Locate the point 30 on the number line.
• Since the inequality is \( \leq \), we use a closed circle at 30 (to include 30).
• Then, draw an arrow to the left of 30 to represent all values less than or equal to 30.

Answer:

\( w \leq 30 \)

3B