Question

The late fee for library books is $2.00 plus 15 cents each day for a book that is late. If Maria's fee for a late book was $3.20, write and solve a linear equation to find how many days late the book was.

Which equation represents this situation correctly?

A. 3.20 = 2.00 + 15d
B. 2.00 = 3.20 + 0.15d
C. 3.20 = 2.00d + 0.15
D. 3.20d = 2.00 + 0.15

Answer 1

The equation that represents this situation correctly is A. 3.20 = 2.00 + 15d. To solve for the number of days the book is late, subtract 2.00 from both sides, divide by 15, and find that the book was 0.08 days late.

Step-by-step explanation:

The equation that represents this situation correctly is A. 3.20 = 2.00 + 15d.

To solve this equation, we need to isolate the variable d, which represents the number of days the book is late. First, subtract 2.00 from both sides of the equation to get 3.20 - 2.00 = 15d. Simplifying, we have 1.20 = 15d. Then, divide both sides of the equation by 15 to solve for d. We get d = 1.20/15 = 0.08.

Therefore, the book was 0.08 days late, which can be interpreted as being 8 minutes late.