9. Match the description with the correct Function.Function A: Function B: x y 0 14 98 17 Function C: y=x+20 (4 points)Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.Function with the greatest rate of changeFunction with the smallest y-interceptWhich function would benefit you the most if it represented your money earned per hour?Function with the highest initial amount of moneyFunction AFunction BFunction C

Answer 1

To match the descriptions with the correct functions based on the provided data and the description of Function C, let's analyze the information:

1. Function A:

   • Points: (0, 14) & (98, 17)
   • To calculate the rate of change, we use the formula: \[ \text{Rate of Change} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{17 - 14}{98 - 0} = \frac{3}{98} \approx 0.0306 \]

2. Function B:

   • While the specific points are not given in your question, assuming one point is (0, 0) (for the context),
   • We cannot calculate the rate of change without additional points for Function B.

3. Function C:

   • Equation: \( y = x + 20 \)
   • The y-intercept is 20.

Now, let's address the descriptions:

• Function with the greatest rate of change: Since we only calculated Function A and Function C seems to have a direct slope of 1, we suspect C may have a higher rate of change than A. However, we need more information about Function B for a conclusive answer. On the basis of our calculation, Function C is likely to have a higher rate of change if Function B is linear with a smaller slope.

• Function with the smallest y-intercept: Function B would require further specifics for confirmation, but if it is (0, 0), it could be smaller than both A (14) and C (20). Thus, if B is indeed (0, 0), it qualifies as having the smallest y-intercept.

• Which function would benefit you the most if it represented your money earned per hour? This would generally favor the function with the highest slope, which, as discussed, could potentially be Function C if it has a slope of 1.

• Function with the highest initial amount of money: At x = 0, Function C has y = 20, and if Function A starts at 14 (0, 14), then function C (20) would have a higher initial amount assuming B's y-intercept is zero.

Based on this analysis:

1. Function with the greatest rate of change: Function C
2. Function with the smallest y-intercept: Function B
3. Which function would benefit you the most if it represented your money earned per hour? Function C
4. Function with the highest initial amount of money: Function C

Please confirm or provide additional information about Function B for a more defined comparison!