To calculate the rate of change based on the given values of \(x\) and \(y\), you will want to determine how much \(y\) changes for a change in \(x\). The formula for the rate of change between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:
\[ \text{Rate of Change} = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, we can assign the values as follows:
- From your provided values, let \(x_1 = 2.6\) and \(y_1 = -6\).
- Let \(x_2 = 3.2\) and \(y_2 = 3\).
Now, substitute these into the formula:
\[ \text{Rate of Change} = \frac{3 - (-6)}{3.2 - 2.6} \]
Calculating the numerator:
\[ 3 - (-6) = 3 + 6 = 9 \]
Calculating the denominator:
\[ 3.2 - 2.6 = 0.6 \]
Putting it all together:
\[ \text{Rate of Change} = \frac{9}{0.6} = 15 \]
Therefore, the rate of change is \(15\).
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