If p(x)=2x^2-4x and q(x)=x-3, what is (p*q)(x)?
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First We have to find the tendency for both cases individually. Let's calculate the equation of the line for each one.
For Men we take two points (year, salary) ( 2 , 35,308) ( 4 , 37076) With these points we are going to calculate the slope of the line.
Then, we have to calculate the intercept of the line with the slope and point (2, 35,308)
y= mx+ b
35,308 = 884*(2)+b
Isolating b,
35,308 - 1768 = b
33540=b
The first equation must be y = 884x +33540
For Women we take two points (year, salary) ( 2 , 27,508) ( 4 , 29,796 ) With these points we are going to calculate the slope of the line
Then, we have to calculate the intercept of the line with the slope and point (2, 27,508)
y= mx+ b
27,508 = 1144*(2)+b
Isolating b,
27,508 - 2288 = b
25220=b
The second equation must be y = 1144x +25220
Now We are going to find the incercept of these equations, we are going to formulate the following equation
884x+33540 = 1144x+25220
33540-25220=1144x-884x ( Isolating terms with x)
8320=260x (Solving on each side)
8320/260 = x =32 ( Isolating x)
It implies that after 32 years Women would exceed men.
B. It seems that as the number of bachelor degrees of women exceeds men's number, the salary increases at a higher rate. So , the change would be greater for women than men every year.