Question

the following table shows mean annual earnings for women and men by their highest achieved level of education. assuming the difference in the table remains constant over a 40 - year career, approximately how much more does a man with a bachelors degree earn than a man with a high school education?
a man with a bachelors degree earns $ more than a man with a high school education over a 40 - year career (simplify your answer.)

Explanation:

Step1: Find the annual difference in earnings

Subtract the mean annual earning of a man with high - school education from that of a man with a bachelor's degree.
The mean annual earning of a man with a bachelor's degree is \(a = 87430\), and the mean annual earning of a man with high - school education is \(b=45734\).
The annual difference \(d=a - b\)

$$d=87430-45734 = 41696$$

Step2: Calculate the 40 - year difference

Multiply the annual difference by 40.
Let \(T\) be the total difference over 40 years. Then \(T = 40\times d\)

$$T=40\times41696=1667840$$

Answer:

\(1667840\)