Question

every year, oakwood community center holds a bike-a-thon to raise money for charity. last year, charlie biked a total of 28.5 miles. hes set a goal to bike at least as many miles this year as he did last year.
let m represent the distance, in miles, that charlie wants to bike this year. which inequality models the story?
$m > 28.5$ $m \geq 28.5$ $m < 28.5$ $m \leq 28.5$
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.
25 25.5 26 26.5 27 27.5 28 28.5 29 29.5 30

Explanation:

Step1: Analyze the problem

Charlie wants to bike at least as many miles this year as last year (28.5 miles). "At least" means the distance \( m \) is greater than or equal to 28.5. So the inequality is \( m \geq 28.5 \).

Step2: Graph the inequality

For the inequality \( m \geq 28.5 \), the endpoint is at 28.5 (closed circle because it includes 28.5) and the arrow points to the right (since \( m \) is greater than or equal to 28.5, we include all numbers to the right of 28.5).

Answer:

The inequality is \( m \geq 28.5 \). For the graph, plot a closed circle at 28.5 and draw an arrow to the right.