s people age, daily stress and worry decrease and happiness increases, according to an analysis of 340,847 adults ages 18 to 85 in a certain country. The graphs show a portion of the research. Complete parts (a) and (b) below. A bar graph with a horizontal axis with the labels 22 and 62 and a vertical axis labeled Percentage Reporting Stress from 0 to 60 in increments of 10 contains two vertical bars, where each bar is over a horizontal axis label. The heights of the bars are as follows, where the horizontal axis label is listed first and the height is listed second: 22, 49; 62, 27. 22 62 0 10 20 30 40 50 60 Percentage Reporting Stress Age 0 15 30 45 60 75 0 10 20 30 40 50 60 Age Percentage Reporting Stress (22,49) (62,27)
A coordinate plane has a horizontal x-axis labeled Age from 0 to 75 in increments of 15 and a vertical y-axis labeled Percentage Reporting Stress from 0 to 60 in increments of 10. A line segment falling from left to right has a left endpoint labeled (22, 49) and a right endpoint labeled (62, 27). Question content area bottom Part 1 a. Find the slope of the line passing through the two points shown in the line graph. Express the slope as a decimal. enter your response here (Round to one decimal place as needed.) Part 2 b. Use the answer from part (a) to complete the statement. For each year of aging, the percentage of Americans reporting "a lot" of stress decreases by ▼ negative 0.6 0.6 27 49 %. The rate of change is ▼ 0.6 49 27 negative 0.6 % per ▼ year of aging. age group. value of m. percentage of stress.
To find the slope of the line passing through the two points (22, 49) and (62, 27), we can use the formula for the slope ( m ):
[ m = \frac{y_2 - y_1}{x_2 - x_1} ]
Where:
Substituting the values into the formula:
[ m = \frac{27 - 49}{62 - 22} = \frac{-22}{40} = -0.55 ]
Rounding to one decimal place, the slope is:
[ m \approx -0.6 ]
a. The slope of the line is -0.6.
b. For each year of aging, the percentage of Americans reporting "a lot" of stress decreases by negative 0.6%. The rate of change is negative 0.6% per year of aging.
So, the completed statement is:
For each year of aging, the percentage of Americans reporting "a lot" of stress decreases by negative 0.6%. The rate of change is negative 0.6% per year of aging.