Question

1. the graph shows the total number of comic books in brandons collection at the end of every month for the current year. the line of best fit for the data is given by the equation ( y = 3x + 22 ), where ( y ) is the total number of comic books in brandons collection ( x ) months after the beginning of the current year. which statement correctly interprets the slope of the line of best fit? a. the rate of change is 1 new comic book every 3 months. b. the rate of change is 3 new comic books every 3 months. c. the rate of change is 3 new comic books every month. d. the rate of change is 22 new comic books every month.

Explanation:

The equation of a line is \(y = mx + b\), where \(m\) is the slope. In the given equation \(y = 3x+22\), the slope \(m = 3\). The slope represents the rate of change of \(y\) (number of comic books) with respect to \(x\) (number of months). So for each increase of \(1\) in \(x\) (each month), \(y\) (the number of comic books) increases by \(3\).

Answer:

C. The rate of change is 3 new comic books every month.