Question
The table shows different values for a linear function. Calculate the rate of change of the function between 5 and 6.
Answers
Answer
Can you please show me how to calculate it with hypothetical values?
Answered by
GPT-4o mini
To calculate the rate of change of a linear function between two points, you can use the formula:
\[
\text{Rate of Change} = \frac{f(x_2) - f(x_1)}{x_2 - x_1}
\]
Where \( f(x_1) \) and \( f(x_2) \) are the function values at \( x_1 \) and \( x_2 \) respectively.
If you have the function values for \( x = 5 \) and \( x = 6 \), please provide them so that I can help you calculate the rate of change. If you don’t, I can show you how to calculate it with hypothetical values.
\[
\text{Rate of Change} = \frac{f(x_2) - f(x_1)}{x_2 - x_1}
\]
Where \( f(x_1) \) and \( f(x_2) \) are the function values at \( x_1 \) and \( x_2 \) respectively.
If you have the function values for \( x = 5 \) and \( x = 6 \), please provide them so that I can help you calculate the rate of change. If you don’t, I can show you how to calculate it with hypothetical values.