Maths-
SAT
Easy

Question

The budget for a school band was $8,000 in 2010. The budget decreased by 15%  from 2010 to 2011 and then increased by 22% from 2011 to 2012. Which of the  following expressions represents the budget, in dollars, for the school band in 2012?

  1. (1.15)(1.22)(8,000)
  2. (0.85)(1.22)(8,000)
  3. (1.15)(0.78)(8,000)
  4. (0.85)(0.78)(8,000)

The correct answer is: (0.85)(1.22)(8,000)


    Actual budget in 2010 = 8000
    The budget decreased by 15% from 2010 to 2011,
    Budget in 2011 = 85 over 100 cross times 8000
    = (0.85) cross times 8000
    The budget is increased 22% from 2011 to 2012
    Budget in 2012 = open parentheses 0.85 close parentheses cross times 8000 cross times 122 over 100
    = (0.85) (1.22) (8000).

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