Question

claytons family is going to the bahamas on vacation next week. the airline has a weight limit for luggage. clayton needs to make sure his bag weighs no more than 50 pounds. let w represent the number of pounds that claytons bag can weigh. which inequality models the story? let w represent the number of pounds that claytons bag can weigh. which inequality models the story? ( w > 50 ) ( w geq 50 ) ( w < 50 ) ( w leq 50 ) 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.

Explanation:

Step1: Analyze the meaning of "no more than"

"No more than" means less than or equal to.

Step2: Translate the condition into an inequality

Since Clayton's bag weight \(w\) should be no more than 50 pounds, the inequality is \(w\leq50\).

Answer:

The inequality that models the story is \(w\leq50\). To graph it:

• Plot a closed endpoint at \(50\) (because \(w = 50\) is allowed, as the weight can be exactly 50 pounds).
• Draw an arrow to the left (since \(w\) can be any value less than or equal to 50).