Question

on weekends, roxanne likes to participate in skateboard competitions. she has learned a total of 28 different tricks. on some days, roxanne will do all of her tricks during a competition. on other days, she only has time to do some of them. let t represent the number of tricks roxanne might do during a competition. which inequality models the story? t > 28, t ≥ 28, t < 28, t ≤ 28. 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. 20 21 22 23 24 25 26 27 28 29 30

Explanation:

Step1: Analyze the problem

Roxanne has a total of 28 tricks. On some days she does all (so \( t = 28 \)) and on other days she does some (so \( t < 28 \)). Combining these, \( t \) can be at most 28, so \( t \leq 28 \).

Step2: Graph the inequality

For \( t \leq 28 \), the endpoint at 28 is closed (since \( t \) can equal 28), and the arrow points to the left (for values less than 28). So we plot a closed dot at 28 on the number line and draw an arrow to the left.

Answer:

The inequality is \( t \leq 28 \). For the graph, plot a closed endpoint at 28 and draw an arrow to the left (towards values less than 28).