QuestionEstimate the average rate of change from $x=1$ to $x=5$ using $y=2$ and $y=3$ . Round to one decimal place.

Studdy Solution

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

STEP 5

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 $0.3$ .

Was this helpful?

QuestionEstimate the average rate of change from $x=1$ to $x=5$ using $y=2$ and $y=3$ . Round to one decimal place.

Studdy Solution

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

STEP 5

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 $0.3$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionEstimate the average rate of change from x=1x=1x=1 to x=5x=5x=5 using y=2y=2y=2 and y=3y=3y=3. Round to one decimal place.

Studdy Solution

STEP 1

Assumptions1. The x-values are x=1x=1x=1 and x=5x=5x=5 . The corresponding y-values are y=y=y= and y=3y=3y=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 formulaAverage rate of change=y2−y1x2−x1Average\, rate\, of\, change = \frac{y2 - y1}{x2 - x1}Averagerateofchange=x2−x1y2−y1​

STEP 3

Now, plug in the given values for x1x1x1, x2x2x2, y1y1y1, and y2y2y2 to calculate the average rate of change.Average rate of change=3−25−1Average\, rate\, of\, change = \frac{3 -2}{5 -1}Averagerateofchange=5−13−2​

STEP 4

Calculate the average rate of change.Average rate of change=14=0.25Average\, rate\, of\, change = \frac{1}{4} =0.25Averagerateofchange=41​=0.25

STEP 5

Since we are asked to round to the nearest tenth, the average rate of change is 0.30.30.3 when rounded to one decimal place.The average rate of change from x=1x=1x=1 to x=5x=5x=5 is approximately 0.30.30.3.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionEstimate the average rate of change from $x=1$ to $x=5$ using $y=2$ and $y=3$ . Round to one decimal place.

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

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

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

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 $0.3$ .