Question

genesis keeps track of the number of people inside a music hall to attend a concert by looking at the number of scanned tickets. she plotted the data on the graph below, where x = 0 represents the time at 6 p.m., then drew a line of best fit. what does the slope of the line represent? the number of hours past 6 p.m. when there is 1 person in the average change in the number of hours since 6 p.m. for every additional person. the average change in the number of people for every the number of people in the music hall 1 hour after 6 p.m.

Explanation:

Step1: Recall slope definition

The slope of a line in a linear - relationship is defined as $\text{slope}=\frac{\Delta y}{\Delta x}$, where $\Delta y$ is the change in the dependent variable and $\Delta x$ is the change in the independent variable.

Step2: Identify variables

In this context, the $x$ - axis represents "Hours Past 6 p.m." (independent variable) and the $y$ - axis represents "People Inside Music Hall" (dependent variable). So, $\text{slope}=\frac{\text{Change in number of people}}{\text{Change in hours}}$.

Answer:

The average change in the number of people for every additional hour past 6 p.m.