Math Snap

STEP 1

Assumptions1. The x-values are $x=1$ and $x=5$
. The corresponding y-values are $y=$ and $y=3$ respectively3. We are asked to estimate the average rate of change to one decimal place4. Answers within0. of the accurate result will be marked correct

STEP 2

The average rate of change is given by the formula$$Average\, rate\, of\, change = \frac{y2 - y1}{x2 - x1}$$

STEP 3

Now, plug in the given values for $x1$, $x2$, $y1$, and $y2$ to calculate the average rate of change.
$$Average\, rate\, of\, change = \frac{3 -2}{5 -1}$$

STEP 4

Calculate the average rate of change.
$$Average\, rate\, of\, change = \frac{1}{4} =0.25$$

Since we are asked to round to the nearest tenth, the average rate of change is $0.3$ when rounded to one decimal place.
The average rate of change from $x=1$ to $x=5$ is approximately $0.3$.