To determine which function has the greater rate of change, we need to examine the slopes of both functions.
For Function 2, the given equation is:
\[ f(x) = \frac{3}{2}x + 5 \]
The coefficient of \( x \) (which is \( \frac{3}{2} \)) represents the slope, or the rate of change, of Function 2. This means that Function 2 has a rate of change of \( \frac{3}{2} \).
Now, to compare it with Function 1, we would need to find the slope of Function 1 from its graph. The slope can typically be determined by choosing two points on the line, calculating the rise over run (change in \( y \) over change in \( x \)).
If we could see the graph of Function 1, we would evaluate its slope. If the slope is greater than \( \frac{3}{2} \), then Function 1 has the greater rate of change; if it is less than \( \frac{3}{2} \), then Function 2 does.
In summary, without the actual graph of Function 1, I cannot definitively answer which function has the greater rate of change. You can compare their slopes directly to make the determination.