Final answer:
To represent the situation, we can use the equation 2000 = 250T, where T is the time in hours and the volunteers are scanning at a rate of 250 books per hour.
Step-by-step explanation:
To write an equation that represents the situation, we can use the formula:
Number of books scanned = Rate of scanning * Time
Let's assign variables: B for the number of books scanned, R for the rate of scanning, and T for the time.
We know that the library has 2000 books in its nonfiction section, and the volunteers are scanning at a rate of 250 books per hour. Therefore, the equation becomes:
B = R * T
Substituting the given values, we get:
2000 = 250 * T
To solve for T, we divide both sides of the equation by 250:
T = 2000 / 250
This simplifies to:
T = 8
Therefore, the equation to represent the situation is 2000 = 250T.