Question

the happy pup pet shop sells homemade dog biscuits. leon is buying 25 biscuits for his dogs. the bacon biscuits are expensive, so he gets fewer than 9 of those and peanut butter biscuits for the rest.
let b represent the number of bacon biscuits leon might get. which inequality models the story?
$b > 9$ $b > 25$ $b < 9$ $b < 25$
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.
5 7 9 11 13 15 17 19 21 23 25

Explanation:

Step1: Analyze the problem statement

The problem says Leon gets fewer than 9 bacon biscuits. Let \( b \) be the number of bacon biscuits. So we need to find the inequality that represents \( b \) being less than 9.

Step2: Evaluate each inequality

• \( b>9 \): This means more than 9, which is not correct.
• \( b > 25 \): He is buying 25 biscuits in total, so \( b \) can't be more than 25, and this is not related to the condition of fewer than 9.
• \( b<9 \): This means fewer than 9, which matches the condition.
• \( b < 25 \): While \( b \) is less than 25 (since total is 25), the key condition is fewer than 9, so this is not the correct model for the story.

For graphing \( b < 9 \):

• The endpoint is at 9. Since \( b \) is strictly less than 9, we use an open circle at 9.
• The arrow points to the left (towards smaller numbers) to represent all numbers less than 9.

Answer:

The inequality is \( b < 9 \). For the graph, plot an open circle at 9 and draw an arrow pointing to the left (towards numbers less than 9).