Question

carlo hands out flyers for a band concert. the graph shows the number of flyers she hands out, y, as a function of the time, in minutes, x. use the graph to describe the function. the initial value is 0. it represents the number of flyers carla hands out in 0 minutes. the number of flyers carla hands out? over time. that means the rate of change is ? . graph: x-axis time (min) from 0 to 4, y-axis flyers handed out from 0 to 40, line from (0,0) to (4,20)

Explanation:

Step1: Analyze the graph trend

The graph is a straight - line going upwards from left to right. When a graph of a function \(y = f(x)\) (where \(y\) is the number of flyers and \(x\) is time) has an upward - sloping straight - line, the value of \(y\) (number of flyers) increases as \(x\) (time) increases.

Step2: Determine the rate of change

For a linear function \(y=mx + b\) (in this case \(b = 0\) since the line passes through the origin \((0,0)\)), the rate of change is the slope \(m\). A positive slope \(m>0\) indicates that the function is increasing.

Answer:

The number of flyers Carla hands out increases over time. That means the rate of change is positive.