The rate of change of given function is 2.5 which is correct option(D).
What is the function?
The function is defined as mathematics expression defines a relationship between one variable and another variable.
What is the rate of change of the function ?
The rate of change is defined as the dependent variable y, is described as changing when the independent variable x, increases.
m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a function —Point 1 and Point 2. Point 1 has coordinates (x₁, y₁) and Point 2 has coordinates (x₂, y₂)
The given data represents function as:
X : 1, 2, 3, 4
Y : -8.5, -6, -3.5, -1
Points of function is (1, -8.5) and (2, -6)
Let
x₁ = 1, y₁ = -8.5
x₂ =2 , y₂ = -6
∵ rate of change m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in formula,
m = (-6 - (-8.5))/(2 - 1)
m = 2.5
Hence, the rate of change of given function is 2.5.
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