Chapter 6 Percents

Chapter 6 Percents

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Chapter Outline

6.1 Understand Percent

6.2 Solve General Applications of Percent

6.3 Solve Sales Tax, Commission, and Discount Applications

6.4 Solve Simple Interest Applications

6.5 Solve Proportions and their Applications

Example

According to the Public Policy Institute of California (2010),44%

of parents of public school children would like their youngest child to earn a graduate degree. Write this percent as a ratio.

Write the percent as a ratio. According to a survey, 89% of college students have a smartphone.

Write the percent as a ratio.

A study found that 72% of U.S. teens send text messages regularly.

In 2007,according to a U.S. Department of Education report, 21 out of every 100 first-time freshmen college students at 4-year

public institutions took at least one remedial course. Write this as a ratio and then as a percent.

Convert Percents to Fractions and Decimals

Among a group of business leaders, 77%

believe that poor math and science education in the U.S. will lead to higher unemployment rates.

Convert the percent to: ⓐ a fraction ⓑ a decimal

Convert the percent to: ⓐ a fraction and ⓑ a decimal

Twitter's share of web traffic jumped 24%

when one celebrity tweeted live on air.

There are four suits of cards in a deck of cards—hearts, diamonds, clubs, and spades. The probability of randomly choosing a heart from a shuffled deck of cards is 25%.

Convert the percent to:

ⓐ a fraction

ⓑ a decimal

Convert Decimals and Fractions to Percents

Convert a decimal to a percent.

Step 1. Write the decimal as a fraction.

Step 2. If the denominator of the fraction is not 100, rewrite it as an equivalent fraction with denominator 100.

Step 3. Write this ratio as a percent.

Convert each decimal to a percent:

ⓐ 0.05

ⓑ 0.83

Convert each decimal to a percent:

ⓐ0.01

ⓑ0.17

Convert each decimal to a percent: ⓐ0.04

ⓑ0.41

Convert each decimal to a percent:

ⓐ1.05

ⓑ0.075

Convert each decimal to a percent:

ⓐ1.75

ⓑ0.0825

Convert a fraction to a percent

Step 1. Convert the fraction to a decimal.

Step 2. Convert the decimal to a percent.

Convert each fraction or mixed number to a percent:

ⓐ3/4

ⓑ11/8

ⓒ2 ¹/₅

Convert each fraction or mixed number to a percent:

ⓐ5/8

ⓑ11/4

ⓒ3 ²/₅

Convert each fraction or mixed number to a percent:

ⓐ7/8

ⓑ9/4

ⓒ1 ³/₅

Multiple Choice

What is 25% of 62?

• 15.5

• 2.48

• 155

• 248

Multiple Choice

Principal = ?

Rate = 5%

Time = 4 years

Interest = $90

• $18

• $4.50

• $45.00

• $450.00

Multiple Choice

Principal = $1250

Rate = 4%

Time = 2 years

Interest = ?

• $50

• $1350

• $1000

• $100

Multiple Choice

Rafael buys a video game for $49.95. The sales tax rate is 6.5%. What is the total cost, including tax, to the nearest cent?

• $56.45

• $53.20

• $46.70

• $43.45

Multiple Choice

Juan’s purchase before sales tax was added totaled $46.00. The total including tax was $48.76. What was the sales tax rate?

• 2.76%

• 5.7%

• 6%

• 8%

Multiple Choice

A retailer buys coats in bulk at a unit price of $60. Each coat is marked up 35% to sell in the store. What is the price of a coat in the store?

• $21

• $39

• $81

• $95

Multiple Choice

Last year, the average number of absences in school was 25 students per day. This year, the absentee rate is down to 22 students per day. What is the percent of change in student absences this year?

• 12% increase

• 12% decrease

• 13.6% increase

• 13.6% decrease

Multiple Choice

What is 110% of 93?

• 10.23

• 84.5

• 102.3

• 94.3