Question

what is the rate of change if x: 2.6, 3.2 and y: -6, 3 in a table

Answer 1

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 \(15\).