Question

A teacher is completing year-end reports on each of her 32 students. She has completed 8 reportsalready. If she fills out 5 reports every hour, how many more hours will it take to finish the job?Which of the following equations can be used to solve this problem?(

Answer 1

Given:

A teacher is completing year-end reports on each of her 32 students. She has completed 8 reports already.

Required:

she fills out 5 reports every hour how many more hours will it take to finish the job.

Explanation:

Here teacher complete 8 reports from 32 reports so remaining reports are

$32-8=24=a_n$

now she files 5 reports every hours means she took exactly 12 minutes to file one report

now at the end of first she files 5 reports means a=5 and d=5

now we have an a and d so put in the formula of arithmetic sequence

$a_n=a+(n-1)d$$\begin{gathered} 24=5+(n-1)5 \\ \frac{19}{5}=n-1 \\ \\ n=4.8 \end{gathered}$

Final answer:

Teacher took 4.8 hours to file the remaining 24 reports.