Q:

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 %)?

Accepted Solution

A:
Answer:2730.5418.8%62.5% (decrease)Step-by-step explanation:The applicable formula is ...   rate = portion/baseso ...   base = portion/rateOf course, a percentage is a fraction that has been multiplied by 100%.__1. base = portion/rate = 456/0.167 ≈ 2730.54The 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%.