Question

A sixth-grade math teacher can grade 25 homework assignments in 20 minutes. Is she working at a faster rate or slower rate than grading 36 homework assignments in 30 minutes?

Answer 1

Step-by-step explanation:

see the attachment......

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Answer 2

Given: A sixth-grade math teacher can grade 25 homework assignments in 20 minutes.

To find: If she is working at a faster rate or slower rate than grading 36 homework assignments in 30 minutes.

Solution:

• If the teacher grades 25 homework assignments in 20 minutes, the number of homework assignments she can grade in 1 minute would be,

        $\frac{25}{20} = 1.25$

• So, she can grade 1.25 homework assignments in a minute.
• Now, if 36 homework assignments can be graded in 30 minutes, then in 1 minute the number of assignments graded is,

        $\frac{36}{30} = 1.20$

• The math teacher's grading rate is higher than the grading of 36 homework assignments in 30 minutes.

Therefore, she is working at a faster rate than grading 36 homework assignments in 30 minutes.