Question

bryan is pet-sitting his neighbors dog, scout, this weekend. bryan bought a box of scouts favorite treats. his neighbor told bryan that scout can have at most 8 treats a day.
let t represent the number of treats that scout can have in a day. which inequality models the story?
$t > 8$ $t \geq 8$ $t < 8$ $t \leq 8$
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.
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Explanation:

Step1: Understand the problem

The problem states that Scout can have at most 8 treats a day. "At most" means the number of treats \( t \) can be 8 or less than 8.

Step2: Analyze the inequalities

• \( t>8 \) means more than 8, which is not correct.
• \( t\geq8 \) means 8 or more, which is not correct.
• \( t < 8 \) means less than 8, but it doesn't include 8.
• \( t\leq8 \) means 8 or less than 8, which matches "at most 8".

Step3: Graph the inequality

For the inequality \( t\leq8 \), we plot a closed dot at 8 (because 8 is included) and draw an arrow to the left (since \( t \) can be less than 8).

Answer:

The inequality is \( t\leq8 \). For the graph, plot a closed endpoint at 8 on the number line (marked at 8) and draw an arrow pointing to the left (towards numbers less than 8).