To find out how much worker 2 would be paid for the weeks of work, we need to determine the pay rate per week.
First, we find the pay rate per week for worker 1 by dividing their total earnings of $114 by the number of weeks worked, which is 3 weeks:
Pay rate per week = Total earnings / Number of weeks
Pay rate per week = $114 / 3 = $38
Since worker 2 earns a proportional pay rate, we can use the pay rate per week of worker 1 to calculate the total earnings for worker 2:
Total earnings for worker 2 = Pay rate per week x Number of weeks
Total earnings for worker 2 = $38 x Number of weeks
To determine the amount worker 2 would be paid for weeks of work, we need to plug in the given answer choices and see which one gives us a valid calculation.
Let's check the options:
A. $152: If we substitute $152 for the total earnings for worker 2, we have the equation:
$152 = $38 x Number of weeks
Dividing both sides by $38, we get:
Number of weeks = 4
Since worker 2 would be paid for more than 3 weeks, option A is incorrect.
B. $342: If we substitute $342 for the total earnings for worker 2, we have the equation:
$342 = $38 x Number of weeks
Dividing both sides by $38, we get:
Number of weeks = 9
Since worker 2 would be paid for more than 3 weeks, option B is incorrect.
C. $118: If we substitute $118 for the total earnings for worker 2, we have the equation:
$118 = $38 x Number of weeks
Dividing both sides by $38, we get:
Number of weeks = 3.105
Since worker 2 would be paid for more than 3 weeks, option C is incorrect.
D. $38: If we substitute $38 for the total earnings for worker 2, we have the equation:
$38 = $38 x Number of weeks
Dividing both sides by $38, we get:
Number of weeks = 1
Since worker 2 would be paid for the same number of weeks as worker 1, option D is the correct answer.
Therefore, worker 2 would be paid $38 for weeks of work if they earned a proportional pay rate.