Question

Ms. Harris is stocking up on dry-erase markers for the upcoming school year. She used 56 dry-erase markers last year and plans to use at least that many for next year. The number of markers in each box is two more than three times the number of boxes she purchased for this upcoming school year.

Which of the following inequalities can be used to determine b, the number of boxes she purchased.

Answer 1

for plato users the answer is D

Answer 2

`3b^2+2b\geq 56`

Explanation:

Here, b represents the number of boxes she purchased for this upcoming school year,

Also, The number of markers in each box is two more than three times the number of boxes she purchased for this upcoming school year.

⇒ The number of marker in each box = 3b+2

Now, the total number of marker = Number of boxes × Number of marker in each box

`=b* (3b+2)`

`=3b^2+2b`

Since, she plan to use at least 56 marker in the upcoming year,

That is, the total number of marker ≥ 56

`\implies 3b^2+2b\geq 56`

Which is the required inequality that shows the given situation.