The number of books checked out from the library varies directly with the number of book reports assigned. There were 3375 books checked out when there were 225 book reports assigned.
How many book reports have been assigned if there are 13,500 books checked out of the library?
A. 60 books
B. 675 books
C. 56.25 books
D. 900 books
Cross multiply and solve for x.
3375/225 = 13,500/x
thank you the answer is D ...
Right.
To solve this problem, we need to understand the concept of direct variation. In direct variation, two variables are directly proportional to each other, meaning that as one variable increases, the other also increases at a constant rate.
In this case, the number of books checked out (let's call it B) is directly proportional to the number of book reports assigned (let's call it R). We can write this as an equation:
B = k * R
Where k is the constant of variation.
To find the value of k, we can use the given information. It states that there were 3375 books checked out when there were 225 book reports assigned. We can substitute these values into the equation to find k:
3375 = k * 225
To solve for k, divide both sides of the equation by 225:
k = 3375 / 225
k = 15
Now that we have the value of k, we can use it to find the number of book reports assigned when there are 13,500 books checked out. Let's call this value R2:
13,500 = 15 * R2
To solve for R2, divide both sides of the equation by 15:
R2 = 13,500 / 15
R2 = 900
Therefore, the correct answer is D. 900 book reports have been assigned if there are 13,500 books checked out of the library.