Question

In Mrs. Tiana’s classroom this year, her 23 students broke 115 crayons. Last year, her students only broke 90 crayons, but there were 18 students. Is this a proportional amount of broken crayons for each situation? What is the constant of proportionality for each situation?

a) Yes
b) No

Answer 1

The amount of broken crayons is proportional for each situation, with a constant of proportionality of 5 crayons per student.

Step-by-step explanation:

No, the amount of broken crayons is not proportional in each situation. To determine proportionality, we need to calculate the constant of proportionality for each situation.

For the first situation, we can set up a ratio of broken crayons to the number of students: 115 crayons / 23 students = 5 crayons per student. This represents the constant of proportionality.

For the second situation, we can set up a ratio of broken crayons to the number of students: 90 crayons / 18 students = 5 crayons per student. This also represents the constant of proportionality.

Since the constant of proportionality is the same in both situations (5 crayons per student), we can conclude that the amount of broken crayons is proportional for each situation.