Question

Show answer with work please!

Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books. 


How many minutes will she need to finish labeling all books if If she takes no breaks and labels:


a. 10 books a minute


b. 15 books a minute


Suppose Clare labels the books at a constant speed of  books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling.

Answer 1

(a) 75 minutes

(b) 50 minutes

(c) labeling speed = Number of books to label ÷ Time taken to finish labeling them

Explanation:

Firstly, she has 750 books to label and she labels 10 books in a minute. Hence, the number of minutes it will take her will equal the number of books divided by the number of books labeled in a minute.

This will be 750/10 = 75 minutes

Secondly, we use the same approach here but the number of books she labeled in a minute is different. Hence we get 750/15 = 50 minutes.

Lastly, the relationship between her labeling speed and the number of minutes is shown as follows.

The speed has a unit of books/minute since it is a rate and this is equal to number of books labeled ÷ Time taken to label them