Question

the graph on the right shows the remaining life expectancy, e, in years for females of age x. find the average rate of change between the ages of 50 and 60. describe what the average rate of change means in this situation. the average rate of change of life expectancy between the ages of 50 and 60 is (type an integer or a decimal.)

Explanation:

Step1: Recall the formula for average rate of change

The formula for the average rate of change of a function \(y = f(x)\) over the interval \([x_1,x_2]\) is \(\frac{f(x_2)-f(x_1)}{x_2 - x_1}\). Here, \(x_1 = 50\), \(f(x_1)=32.3\), \(x_2 = 60\), and \(f(x_2)=23.4\).

Step2: Substitute the values into the formula

$$
LATEXBLOCK0
$$

Step3: Calculate the result

\(\frac{-8.9}{10}=- 0.89\)

Answer:

\(-0.89\)