a retail store offers two different hourly compensation plans: plan A: $9.00 per hour Plan B: $7.50 per hour worked plus a $4.50 shift bonus graph the linear system when would the earnings from the two plans be the same?
when 9.00x = 4.50 + 7.50x
To graph the linear system, we need to represent each compensation plan as an equation. Let's denote 'x' as the hours worked.
For Plan A, the hourly wage is $9.00, and the total earnings can be calculated as 9x.
For Plan B, the hourly wage is $7.50, and there is an additional shift bonus of $4.50. So, the total earnings for Plan B can be calculated as (7.50x + 4.50).
To find when the earnings from both plans are the same, we need to set the two equations equal to each other:
9x = 7.50x + 4.50
Now, let's solve for 'x' to determine when the earnings will be equal:
9x - 7.50x = 4.50
1.50x = 4.50
x = 4.50 / 1.50
x = 3
So, the earnings from both plans will be the same when an employee works 3 hours.
To graph this linear system, we can plot the total earnings on the y-axis and the hours worked on the x-axis. The graph will help visualize the point of intersection, which represents the moment when both earnings are equal.