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Andre45 [30]
3 years ago
11

A large employer gives each new hire an aptitude test, which is scored from 1 to 20. Let T be a worker's score on the test. The

firm then pays the new worker a wage of w = 0.6T + 0.4G where G is the average test score for the worker's gender-16 for women; 12 for men. How much more is a woman paid than a man when both scored a 10 on the test?
Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Answer:

A woman paid 1.6 more than a man when both scored a 10 on the test.

Step-by-step explanation:

Let T be a worker's score on the test.

The firm then pays the new worker a wage of

w=0.6T+0.4G

where G is the average test score for the worker's gender 16 for women; 12 for men.

We need to find how much more is a woman paid than a man when both scored a 10 on the test.

The wage of a woman who scored 10 on the test is

w_1=0.6(10)+0.4(16)

w_1=6.0+6.4=12.4

The wage of a man who scored 10 on the test is

w_2=0.6(10)+0.4(12)

w_2=6.0+4.8=10.8

The difference between wages is

w_1-w_2=12.4-10.8=1.6

Therefore a woman paid 1.6 more than a man when both scored a 10 on the test.

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