Question

Solve for the base. Round to hundredths when necessary.

Answer 1

Answer:

1. 2730.54
2. 18.8%
3. 62.5% (decrease)

Step-by-step explanation:

The applicable formula is ...

  rate = portion/base

so ...

  base = portion/rate

Of course, a percentage is a fraction that has been multiplied by 100%.

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1. base = portion/rate = 456/0.167 ≈ 2730.54

The base is about 2730.54.

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2. rate = portion/base = 50/266 ≈ 0.18797 ≈ 18.8%

The rate is about 18.8%.

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3. The decrease can be figured from ...

  rate of change = (new amount)/(original) -1 = 33/88 -1

     = -5/8 = -0.625 = -62.5%

The rate of decrease is 62.5%.