Homework 2.3

The number of daily newspaper is now 1,468 and it was 2,238 in 1900. Express the relative change using a percentage. Use the second given value as the reference value. Also, write a statement describing the result. 1. The relative change between the current year and 1990 is ___. 2. There is a ____ % _________ from 1900.

1. -34% 2. 34, decrease

Express each of the following numbers in all three forms: fraction, decimal, and percentage. 1. 3/5 2. 3.5 3. 0.25 4. 10%

1. 3/5 = 0.6 = 60% 2. 7/2 (or 3-1/2) = 3.5 = 350% 3. 1/4 = 0.25 = 25% 4. 1/10 = 0.1 = 10%

Last March there was 748,684 scheduled passenger flights in a certain country, and in March of 1997 there were 713,193. Use a percentage to express the relative change. Use the second given value as the reference value. Also, write a statement describing the result. 1. The relative difference between March of 1997 and last March is ________. 2. There is a(n) __ % ________ in the number of scheduled passenger flights from March 1997 to last March.

1. 5% 2. 5, increase

A study was conducted of please made by 1.036 criminals. Among those criminals, 959 plead guilty, and 393 of them were sentenced to prison. Among the 77 other criminals who plead not guilty, 55 were sent to prison. 1. What percentage of the criminals plead guilty? 2. What percentage of the criminals were sent to prison? 3. Among those who plead guilty, what is the percentage who were sent to prison? 4. Among those who plead not guilty, what is the percentage who were sent to prison?

1. 92.6% 2. 43.2% 3. 41% 4. 71.4%

The percentage of high school seniors using alcohol decreased from 68.6% in 1975 to 52.3% now. Express this change in two ways: 1. as an absolute difference in terms of percentage points 2. as a relative difference in terms of percent.

1. The percentage of high school seniors using alcohol decreased by 16.3% - absolute difference, 68.6 - 52.3 2. The percentage of high school seniors using alcohol decreased by 23.8% - relative difference, ( (52.3 - 68.6) / 68.6) x 100 = -23.8%

Distinguish between absolute and relative change. Give an example that illustrates how we calculate a relative change. 1. Absolute change is the ______________ and relative change is the ______________. 2. Suppose your hourly salary is $20, but then you get a raise to $21.25. Illustrate how to calculate the relative change.

1. actual increase or decrease from a reference value to a new value, size of a change in comparison to the reference value 2. ( ($21.25 - $20) / $20 ) x 100% = 6.25% absolute change = new value - reference value relative change = ( (new value-reference value) / reference value) x 100%

Distinguish between absolute and relative difference. Give an example that illustrates how we calculate a relative difference. 1. Absolute difference is the ______________ and relative difference is the ______________ . 2. Suppose Ken owns 10 pairs of shoes and Hannah owns 15. Using 10 as the reference value, illustrate how to calculate the relative difference.

1. difference between the compared value and the reference value, size of a difference in comparison to the reference value 2. the relative difference is ( (15-10) / 10) x 100% = 50% absolute difference = compared value - reference value relative difference = ( (compared value - reference value) / reference value) x 100%

In a survey of 1,371 office workers, 4.4% said that they do not make personal phone calls. Find the actual number of respondents corresponding to the given percentage.

60 workers don't make personal calls

In a certain survey of 1,049 adults, 84% reported having more than one television at home. Find the actual number of respondents corresponding to the given percentage.

881 adults have more than one television at home

Determine whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly My bank raised its interest rate on savings accounts from 3% to 4.2%, which was a 40% increase.

The statement is true. To determine how much a value increased by, the relative change should be computer. In this case, the relative change is 40% ( (4.2 - 3) / 3) x 100% = 40%