Samantha Greene is on the negotiating team for the next teacher's contract. The school board is proposing a 6% increase for each of the next four years. The teachers' counterproposal is 12% this year and 4% for each of the next three years. what is the difference in either case
board proposal
= (1.06)^4 = 1.2625
teacher's proposal
= (1.12)(1.04)^3 = 1.2598
draw you conclusion
24
To calculate the difference in the proposed salary increases for each case, we need to subtract the percentage increases proposed by the school board from the percentage increases proposed by the teachers. Let's first calculate the differences for each year.
School Board Proposal:
Year 1: 6% increase
Year 2: 6% increase
Year 3: 6% increase
Year 4: 6% increase
Teachers' Counterproposal:
Year 1: 12% increase
Year 2: 4% increase
Year 3: 4% increase
Year 4: 4% increase
Now, let's calculate the differences for each year:
Year 1: 12% - 6% = 6%
Year 2: 4% - 6% = -2% (negative value indicates reduction)
Year 3: 4% - 6% = -2%
Year 4: 4% - 6% = -2%
The difference in each case for each year is as follows:
School Board Proposal:
Year 1: 6%
Year 2: 6%
Year 3: 6%
Year 4: 6%
Teachers' Counterproposal:
Year 1: 6%
Year 2: -2%
Year 3: -2%
Year 4: -2%
Therefore, the difference in each case is as follows:
School Board Proposal:
The difference for each year is 6%.
Teachers' Counterproposal:
The difference in Year 1 is 6%, and the difference in Years 2, 3, and 4 is -2%.
Note: The difference is the percentage increase or decrease in salary when compared to the previous year.