Refresh Your Math & Graphing Skills 02.docx - Refresh Your...

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Refresh Your Math & Graphing Skills 1. Fractions and percentages Play Current Time2:52 / Duration Time2:52 Loaded: 0% Progress: 0% 2:52 Non-Fullscreen 00:00 Mute Captions Transcript A total of 15,000 students entered Big State University in the fall of 2013. The following table breaks down the student body by race and gender: Male Female Total White 3,000 2,250 5,250 African- American 600 450 1,050 Hispanic 2,100 2,400 4,500 Asian 1,500 750 2,250 Other 780 1,170 1,950 Total 7,980 7,020 15,000 Complete the following table by choosing the correct value representing the portion of students that is both male and Asian in fraction, decimal, and percent form.
Fraction Decimal Percent Male and Asian 1/10 0.1 10% Points: 1 / 1 Close Explanation Explanation: Of the 15,000 entering students, 1,500 are male and Asian. Therefore, you can say that 1,50015,000 1,50015,000 of the students are both male and Asian. However, you can reduce that fraction. Reducing a fraction means dividing the numerator and denominator by the same number. In this case, both 1,500 and 15,000 are divisible by 1,500: Fraction of Class that is Male and Asian Fraction of Class that is Male and Asian = = 1,5001,50015,0001,500 1,5001,50015,00 01,500 = = 1/10 To express this as a decimal, you evaluate the fraction by dividing the top number by the bottom: 1/10=0.1 1/10=0.1. To express this as a percentage, you multiply the decimal by 100%: Percentage of Class that is Male and Asian Percentage of Class that is M ale and Asian = = 100%×0.1 100% ×0.1 = = 10% 10% The portion of students that are female and Hispanic is 2,40015,000 2,40015,000. Which of the following represent fractions that are equivalent to 2,40015,000 2,40015,000? Check all that apply. Points: 0.75 / 1 Close Explanation
Equivalent fractions are those that represent the same portion of a whole. That is, both 12 12 and 24 24 reflect the concept of "one half"; therefore, they are equivalent . One way to determine whether two fractions are equivalent is to reduce both to their decimal form by dividing the top number by the bottom. If they are equal, the two fractions are equivalent. In this example, the decimal form of the portion of students that are female and Hispanic is equal to 2,40015,000 =0.16 2,40015,000=0.16. The fractions 2401,500 2401,500, 4,80030,000 4,80030,000, and 4803,000 4803,000 all have this same decimal value; therefore, they are all equivalent. 2. Which discount is better?
The following questions highlight how changes in numbers can be measured in both absolute and relative, or percentage, terms. Two stores in a mall are having promotions. The first, Annie's Attic, is offering $15.00 off any purchase. The other, Betty's Breakables, is offering 40% off any purchase. Each store offers a music box at a (non-discounted) price of $75 and a faux Ming vase for $60.00, as summarized in the following table. Determine the promotional price of each item at each store. Item Original Price Discount (Dollars) $15.00 Off 40% Off (Dollars) (Dollars ) A music box $75 $60.00 $45.00 A faux Ming vase $60.00 $45.00 $36.00 Points: 1 / 1 Close Explanation
Annie's Attic is offering an absolute amount off of any purchase—specifically, $15.00. Therefore, its promotional price for a music box would be $75−$15.00=$60.00 $75−$15.00=$60.00, and its promotional price for a faux Ming vase would be $60.00−$15.00=$45.00 $60.00− $15.00=$45.00.

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