Respuesta :
Answer:
a) m = 0.78
b) Average annual earnings by Males
c) F = $ 30,548.685
Step-by-step explanation:
Given:
- The relationship between the average annual earning of Females F is expressed as a function of earnings by males M as:
F = 0.78*M - 1.315
Find:
(a) Viewing F as a function of M, what is the slope of the graph of this function?
(b) what is M?
(c) When the average annual earnings for males reach $65,000, what does the equation predict for the average annual earnings for females?
Solution:
a)
- The given expression can be compared with a linear equation of the form:
y = m*x + c
Where,
y is the dependent variable
m is the slope of the graph
x is the independent variable
c is the intercept when x = 0
- So for our case , y = F , m = 0.78 , x = M , c = -1.315
b)
- The variable M is the independent variable with the domain [ 0 , infinity ] denotes the average annual earnings of Males in dollars ($).
c)
- When average annual earnings by males is $ 65,000 i.e M = 65,000, We compute F by the given expression:
F = 0.47 * 65,000 - 1.315
F = $ 30,548.685
- The average annual earning by females is $ 30,549 when earning by males reach $65,000.
