Respuesta :
Answer:
D. No more than 8.8 pounds.
Step-by-step explanation:
Let x be the weight that Lorrie can add to carry-on.
We are told that an airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds.
The inequality that will represent the the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit is: [tex]x+21.2\leq 30[/tex]
Let us solve for x by subtracting 21.2 from both sides of our inequality.
[tex]x+21.2-21.2\leq 30-21.2[/tex]
[tex]x\leq 8.8[/tex]
We can see that the weight Lorrie can add to the carry-on should be less than or equal to 8.8 pounds without going over the 30 pound limit. Therefore, the weight that Lorrie can add to the carry-on should be no more than 8.8 pounds and option D is the correct choice.
According to the built inequality, it is found that the weight that Lorrie can add to the carry-on without going over the 30-pound limit is given by:
- No more than 8.8 pounds.
What is the inequality?
- Lorrie's bag is composed by a weight of 21.2 pounds(carry-on), plus the weight added(a).
- The upper limit is of 30 pounds.
Hence, the inequality is given by:
[tex]21.2 + a \leq 30[/tex]
Solving it:
[tex]a \leq 30 - 21.2[/tex]
[tex]a \leq 8.8[/tex]
Hence, she can bring no more than 8.8 pounds.
You can learn more about inequalities at https://brainly.com/question/3667226
