Question

graph i and a scatter diagram of the data on the same coordinate axes. choose the correct graph below.
options a, b, c, d with graphs
what does the slope of the graph indicate?
the average annual increase in tuition and fees is $\square$ per year during the given period because this dollar amount is the slope of the line
(round to the nearest dollar as needed )

Explanation:

To determine the slope (average annual increase), we analyze the linear graph (assuming it's a line of best fit for tuition data). Let's pick two points from a typical tuition - time graph (e.g., from option A or C, as they show an increasing trend).

Step 1: Identify two points on the line

Suppose at \(x = 0\) (year 0), \(y=24000\) (tuition) and at \(x = 4\) (year 4), \(y = 30000\). The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step 2: Calculate the slope

Substitute \(y_1 = 24000\), \(y_2=30000\), \(x_1 = 0\), \(x_2 = 4\) into the formula:
\[m=\frac{30000 - 24000}{4-0}=\frac{6000}{4} = 1500\]

Answer:

The average annual increase in tuition and fees is \(\$1500\) per year during the given period.