What is the multiplicative rate of change of the function shown on the graph? Express your answer in decimal form. Round to the
2 answers:
In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change. In exponential models there is a constant multiplicative rate of change. The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate. We can test that using several pair of points. The multiplicative rate of change is calcualted in this way: [f(a) / f(b) ] / (a - b) Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8) [12.5 / 5] / (2 - 1) = 2.5 [5 / 2] / (1 - 0) = 2.5 [2 / 0.8] / (0 - (-1) ) = 2.5Then, do doubt, the answer is 2.5
Answer:
Multiplicative rate of change is 2.5
Step-by-step explanation:
Let the given exponential function is in the form of
where a = initial value
x = duration or time
r = rate of change
For point (0, 2)
a = 2
Now the exponential equation becomes
For the point (1, 5)
r = 2.5
Therefore, multiplicative rate of change is 2.5
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