Question

A new library opened with 1,800 books in its collection. Each year the library plans to purchase another 1,800 books. Explain which type of function best models the number of books in the library's collection over time.

a. Linear function
b. Exponential function
c. Quadratic function
d. Absolute value function

Answer 1

The type of function that best models the number of books in the library's collection over time is an exponential function.

Step-by-step explanation:

The type of function that best models the number of books in the library's collection over time is exponential function.

Each year, the library plans to purchase an additional 1,800 books. This means that the number of books in the collection will keep multiplying by a fixed amount each year. An exponential function is represented by the equation y = ab^x, where y represents the number of books, x represents the number of years, and a and b are constants. In this case, a = 1,800 (the initial number of books) and b = 1 (since the number of books purchased each year is the same).

Therefore, the equation that models the number of books in the library's collection over time is y = 1,800 * 1^x, which simplifies to y = 1,800. This means that the number of books remains constant at 1,800 over time.