In 2003, what was the ratio of the number of in-store purchases paid for either by check or by credit card to the number of in-store purchases paid for in cash?
Answer(s): E
Get the percentages from the graph (for 2003):Check = 15%Credit Card = 21%Cash = 33%Add check and credit card:15% + 21% = 36%So we are comparing:36 (check + credit)33 (cash)Write the ratio:36 : 33, or 12 : 11
If the distribution of the number of in-store purchases in 2003 by method of payment is to be represented by a circle graph with a radius of 3.2 centimeters, approximately what will be the length, in centimeters, of the area of the sector representing payment by credit card?
Answer(s): A
From the graph, in 2003:Credit card purchases = 21% = 0.21Use arc length formula:Arc length = (fraction of circle) × (circumference)Circumference of a circle = 2r r = 3.2 cm 2(3.2) = 6.4 6.4 × 3.14 = 20.1 cmArc length = 0.21 × 20.1 4.221 cm
FILL BLANKIn 2003, what percent of the in-store purchases that were not paid for in cash were paid for by check?Give your answer to the nearest whole percent.
We need to calculate:(check purchases) ÷ (non-cash purchases) × 100From the graph (2003 data):Cash = 33%Check = 15%Credit Card = 21%Debit Card = 31%Calculate non-cash purchases:100% - 33% = 67%Find the fraction of non-cash purchases that were checks:15% of total purchases were by check, so:(15 ÷ 67) × 100 22.39% 22% (rounded to nearest whole percent)
The combined amount donated by corporations to education and to culture and the arts was closest to what fraction of the total amount donated by corporations?
Answer(s): D
Education and culture together receive 35 % + 9 % = 44 % of the $11 billion from corporations, which is 0.44 of the total.Now compare with the given fraction option:
If the data in the table were represented by a circle graph such that the areas of the four sectors were proportional to the amounts of charitable donations from the four sources, what would be the approximate measure of the central angle of the sector representing foundations?
Answer(s): C
Total amount = $191 billionFoundations contributed = $20 billionWe need to find what fraction of the circle that is:Multiply that fraction by 360° (full circle):0.1047 × 360 37.7° 38°
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