Question

The number of pages of paper in a stack of notebooks is related to the number of notebooks. The relationship is shown in the graph. What is the equation?

a) Y = 2X
b) Y = X^2
c) Y = 3X
d) Y = X/2

Answer 1

The equation that relates the number of pages of paper in a stack of notebooks to the number of notebooks is Y = X^2.

Step-by-step explanation:

The equation that relates the number of pages of paper in a stack of notebooks to the number of notebooks is Y = X^2.

In this equation, Y represents the number of pages and X represents the number of notebooks. The function is a quadratic function, as indicated by the exponent ^2. This means that as the number of notebooks increases, the number of pages in the stack increases exponentially.

For example, if there are 2 notebooks, the equation would become Y = 2^2, which simplifies to Y = 4. So there would be 4 pages in the stack of notebooks.