Question

zach runs on the copeland county track team. the 100-meter dash is his favorite race. zach wants to tie or beat the county record of 12.27 seconds by the end of the year. let t represent the time, in seconds, zach wants to achieve by the end of the year. which inequality models the story? t > 12.27 t ≥ 12.27 t < 12.27 t ≤ 12.27 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. 12.2 12.21 12.22 12.23 12.24 12.25 12.26 12.27 12.28 12.29 12.3

Explanation:

Step1: Analyze the problem

Zach wants to tie or beat the county record of 12.27 seconds. "Tie" means \( t = 12.27 \) and "beat" means \( t < 12.27 \). So the time \( t \) he wants to achieve should be less than or equal to 12.27 seconds.

Step2: Determine the inequality

The inequality that represents "less than or equal to" is \( t\leq12.27 \).

Step3: Graph the inequality

• The endpoint is at 12.27. Since the inequality is \( \leq \), the endpoint is closed (filled).
• The arrow should point to the left (towards smaller values) because we want values of \( t \) that are less than or equal to 12.27. So we plot a closed dot at 12.27 on the number line and draw an arrow to the left.

Answer:

The inequality is \( t\leq12.27 \). For the graph, plot a closed dot at 12.27 and draw an arrow to the left.