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Solve for the base. Round to hundredths when necessary.
What is the base if the rate is 16.7% and the portion is 456?


Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.
What is the rate if the base is 266 and the portion is 50?


Solve for the unknown. Round decimals to hundredths and percents to the nearest tenth.
If a number decreases from 88 to 33, what is the rate of decrease (as a %)?

Respuesta :

sqdancefan

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%.

__

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

The base is about 2730.54.

__

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

The rate is about 18.8%.

__

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%.

The value of the base when the rate is 16.7% and the portion is 456 is 2730.54.

Based on the information given, the base will be calculated as:

= 456/16.7%

= 456/0.167

= 2730.54

The rate when the base is 266 and the portion is 50 will be:

Rate = Portion/Base

Rate = 50/266

Rate = 0.188

Rate = 18.8%

The rate of decrease will be given as:

= (88 - 33) / 88 × 100

= 55/88 × 100

= 5/8 × 100

= 62.5%

In conclusion, the correct answers will be 2730.54, 18.8%, and 62.5%.

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