average linear function

jccurtis

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Jun 28, 2006
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Here is my question and answer. Let me know if I am anywhere close people.

The average yearly earnings for males holding a bachelors degree is given by the linear function: f(x) = 828x + 32,134 where x is the number of years since 1996 that a person graduated.

a) Find the average earnings for males receiving a bachelor's degree in 1998

f(x)=828 (2) + 32,134
f(x)=1656 + 32,134
f(x)=33,790 average earnings

b) Predict the average earnings for males receiving a bachelor's degree in 2005

f(x)=828 (9) + 32,134
f(x)=7452 + 32,134
f(x)=39,586 average earnings

c) Predict the first year that the average earnings for a male with a bachelors degree will be greater than 50,000

50,000=828(x) +32,134

50,000-32,134=828(x)
17,866=828(x)
x=21.57

In 2018 the Average earning for a male with a bachelors degree will be greater than 50,000.

d) Find and interpret the slope of the equation.
m=828 y=mx+b

The average yearly earnings for males with a bachelors degree increases $828 dollars every 1 year.

e) Find and interpret the y-intercept of the equation.

b=32,134 y=mx+b

The average yearly earnings for males with a bachelors degree in 1996 was $32,134.
 
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