Final Answer:
a. The slope of the line is -0.4.
b. For each year of aging, the percentage of Americans reporting "a lot" of stress decreases by 0.4%. The rate of change is 0.4% per year.
Step-by-step explanation:
a. To find the slope of the line passing through the two points shown in the line graph, we need to determine the change in the percentage of people reporting stress divided by the change in age.
Using the points (22,42) and (62,26), we can calculate the slope using the formula:
slope = (change in y)/(change in x)
Slope = (26 - 42) / (62 - 22)
Slope = -16 / 40
Slope = -0.4
Therefore, the slope of the line is -0.4.
b. Based on the slope from part (a), we can complete the statement.
For each year of aging, the percentage of Americans reporting "a lot" of stress decreases by 0.4%. The rate of change is 0.4% per year.
This means that for every additional year of aging, there is a decrease of 0.4% in the percentage of Americans reporting "a lot" of stress. The rate of change indicates the speed at which the decrease in stress occurs with increasing age.
Complete question:
- a. Find the slope of the line passing through the two points shown in the line graph. Express the slope as a decimal. (Round to one decimal place as needed.)
- 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 ___ %. The rate of change is ___ % per ___.