The average rate of change of life expectancy between the ages of 50 and 60 is of -0.88, which means that the life expectancy decreases by 0.88 between the ages of 50 and 60.
The average rate of change of a function is given by the change in the output divided by the change in the input.
In this problem, we have that between the ages of 50 and 60, the input-output pairs are (50,32.8) and (60,24.0), hence:
[tex]r = \frac{24 - 32.8}{60 - 50} = -0.88[/tex]
Negative value of -0.88, which means that the life expectancy decreases by 0.88 between the ages of 50 and 60.
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The average rate of change of life expectancy between the ages of 50 and 60 decreases by 0.88 years
Linear equation
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Let E represent the remaining life expectancy for females with x years.
Using the range (50, 32.8) and (60, 24):
m = (24 - 32.8)/(60 - 50) = -0.88
The average rate of change of life expectancy between the ages of 50 and 60 decreases by 0.88 years
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