What is the average rate of change for the sequence shown below?

Question

What is the average rate of change for the sequence shown below? a coordinate plane showing the points negative 1, 4. 1, 3. 3, 2. 5, 1.

Mina Herzog · Accepted Answer

- 1/2 = - 0.5Explanation:1. Make the sequence clear. These are the given points (x,y):(-1, 4)(1, 3)(3, 2)(5, 1)2. The average rate of change only takes into account the last and the first pairs of your intervals, those are (5, 1) and (-1, 4).Average rate of change = [change in y] / [change in x] = [1 - 4] / [5 - (-1) ] =   = - 3 / 6 = - 1/2 = - 0.5  ← answerThe averate ratre of change is the slope of the line that joins the first and last points. The fact that the result is negative means that there was a net decrease of the values.

Mina Herzog · Answer

second option.Step-by-step explanation: The average rate of change is the slope, and this can be calculated with this formula: Choose two points. Let's choose the points (1,4) and (3,1). Now, substitute them into the formula  . Then you get: Rewrite this result as a mixed number. Therefore, the answer is: This matches with the second option.

Mina Herzog · Answer

The average rate of change is Step-by-step explanation:  The points (1, 2); (2, 2.5); (3, 3); (4, 3.5) and (5, 4) belong to the line shown in the graph attached. The average rate of change for the sequence is the slope and you can calculate it with the formula: Then, choose two points of the line and substitute them into  : Let's choose the point (1,2) and the point (2,2.5). Then:

Mina Herzog · Answer

-1/2Step-by-step explanation:If you connected the dots here you would have a straight line.  The average rate of change for a straight line is also known as the slope.  Slope, by definition, is rise over run (although rise doesn't necessarily mean "up"; it could also mean down, as it does here).  From one point to the next in our graph, we go down 1 unit (-1) and to the right 2 units (+2).  Therefore, the slope of the line is -1/2.

Mina Herzog · Answer

1Step-by-step explanation:Please use parentheses around the coordinates of your points:(1, 4); (0.5, 3.5), etc.If we go from (0.5, 3.5) to (1, 4), x increases by 0.5 and y increases by 0.5.  Thus the slope is m = rise / run = 1/1 = 1.This is the average rate of change for the sequence shown.

Mina Herzog · Answer

1Step-by-step explanation:Step 1: Select 2 points  (0,3)     (0.5, 3.5)x1,y1     x2,y2Step 2: use average rate of change formula = average rate of change

Mina Herzog · Answer

1Step-by-step explanation:We are given the following sequence below and we are to find out the average rate of change for it: (-.5, 2.5), (0,3, 0.5), (1,4)We can find the average rate of change for this by taking any two points from this sequence and finding its slope.Slope = Therefore, the average rate of change for this sequence is 1.

Mina Herzog · Answer

Step-by-step explanation:The points on the graph are collinear (they lie on one straight line).Therefore, average of change is the same as a slope.The formula of a slope:We choose two points and put the coordinates to the formula

Mina Herzog · Answer

BStep-by-step explanation:The average rate of change can be found using formulaIn your case,Hence,

Mina Herzog · Answer

Hey There!To find the rate of change, simply use the following formula.y2 - y1 = x2 - x1Keeping this in mind, let's begin to solve.3 - 4 = -11 - (-1) = 2Therefore, the answer would be CThank you for posting your question with

Lavinia Carroll

What is the average rate of change for the sequence shown below?

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