https://file.aiquickdraw.com/mathbot/file/1729610850865ozty93rs.jpg

Let's break this down step by step:

### Function A:
Looking at the graph of Function A, we can determine the slope. The slope (\( m \)) of a line is calculated as the change in \( y \) divided by the change in \( x \), or:

\[
m = \frac{\Delta y}{\Delta x}
\]

From the graph, let's take two clear points on the line. The line crosses the points \( (-4, 0) \) and \( (0, 2) \).

So the change in \( y \) is:
\[
\Delta y = 2 - 0 = 2
\]
And the change in \( x \) is:
\[
\Delta x = 0 - (-4) = 4
\]
Thus, the slope of Function A is:
\[
m_A = \frac{2}{4} = \frac{1}{2}
\]

### Function B:
For Function B, we can calculate the slope using the given table. To find the slope, we use the formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Let's take two points from the table, \( (-4, -24) \) and \( (-1, -9) \):

\[
m_B = \frac{-9 - (-24)}{-1 - (-4)} = \frac{-9 + 24}{-1 + 4} = \frac{15}{3} = 5
\]

### Comparing Slopes:
- Slope of Function A: \( \frac{1}{2} \)
- Slope of Function B: \( 5 \)

Clearly, the slope of Function A is less than the slope of Function B.

### Conclusion:
The correct statement is:
- "The slope of Function A is less than the slope of Function B."

Would you like further details or have any other questions?

### Related Questions:
1. How can we graph linear functions if only the slope and one point are known?
2. What is the significance of the slope in real-world scenarios?
3. How do changes in the slope affect the steepness of a line?
4. Can we determine the y-intercept of a line from its equation?
5. How do we find the equation of a line given two points?

**Tip:** Remember that a positive slope means the line rises as \( x \) increases, while a negative slope means it falls.

Which statement is true about the slopes of Function A and Function B?

Learn how to compare the slopes of two linear functions using a graph and a table of values. Function A has a slope of 1/2, while Function B has a slope of 5. Understand the concepts of slope calculation and linear function comparison.

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