Final answer:
To find the inequality that describes the number of teachers, t, Noor could give sheets of stickers to, we need to determine how many sheets of stickers Noor has left after giving each student dfrac13 of a sheet. She started with 21 sheets and gave 15 to the students, leaving her with 6 sheets. Since she can give 1 dfrac12 sheets to each teacher, she can give sheets to a maximum of 4 teachers.
Step-by-step explanation:
To find the inequality that describes the number of teachers, t, Noor could give sheets of stickers to, we need to determine how many sheets of stickers Noor has left after giving each student dfrac13 of a sheet. Since she gave dfrac13 of a sheet to each of the 45 students, she used dfrac13 x 45 = 15 sheets of stickers in total. She started with 21 sheets, so she has 21 - 15 = 6 sheets of stickers left. Now, we need to determine the number of teachers, t, she can give 1 dfrac12 sheets each to. Since she has 6 sheets left, she can give 6 ÷ 1 &&dfrac12 = 4 teachers sheets of stickers. Therefore, the inequality that describes the number of teachers, t, Noor could give sheets of stickers to is t ≤ 4.