Question

Emma works at the library putting books away. She put away 3 carts ofbooks in 45 minutes. The function f(b) represents the number of booksEmma put away per hour. Which of these statements are correct interpretations of the function?a) The term 3b represents the number of books Emma puts away in an hour .b) The variable b represents the number of book on one cart .c) The number 3 represents the number of hours Emma worked .

Answer 1

You have the following function:

f(b) = 3b ÷ 45/60

Consider Emma put way 3 carts of books in 45 minuntes.

The factor 45/60 means the conversion to hours of the number of books Emma put way. 45 minutes in hours is the same as 45/60.

the factor 3b means that Emma put way 3 carts of books, and the division stablish the rate of time in one hour. This means b is the number of book on one cart.

Hence, the following statement is a correct interpretation of the function f(b):

b) the variable b represents the number of book on one cart.