Answer:
To find the constant rate of change for function k, we need to determine how much the output changes as the input increases from 3 to 6. The constant rate of change represents the amount by which the output changes for each unit increase in the input.
Let's calculate the change in the output of function k as the input increases from 3 to 6:
1. Evaluate function k at the initial input of 3. Let's say the output is y1.
2. Evaluate function k at the final input of 6. Let's say the output is y2.
3. Calculate the change in the output by subtracting y1 from y2: y2 - y1.
Once we have the change in the output, we can determine the constant rate of change by dividing the change in the output by the change in the input. In this case, since the input increases from 3 to 6, the change in the input is 6 - 3 = 3.
Finally, to find the constant rate of change, we divide the change in the output by the change in the input:
Constant rate of change = (y2 - y1) / (6 - 3)
It's important to note that the specific function k is not provided, so we cannot calculate the actual values for y1 and y2. However, using this formula, you can substitute the actual output values of function k at inputs 3 and 6 to find the constant rate of change.
For example, if the output of function k at input 3 is 4 and the output at input 6 is 10, the constant rate of change would be:
Constant rate of change = (10 - 4) / (6 - 3) = 6 / 3 = 2
So, the constant rate of change needed to achieve the same change in the output of function k as the input increases from 3 to 6 is 2.
Explanation: