Victory for the ACT Student Text 15e

264 • M ATH

–‡• ͓ͳ͸Ȃͳ͹ ”‡ˆ‡” –‘ –Š‡ ˆ‘ŽŽ‘™‹‰ –ƒ„Ž‡Ǥ ANNUAL EXPENDITURES FOR THE JONES FAMILY (percent of annual expenditures) Category 2006 2007 Rent 23.0 19.3 Food 17.6 18.2 Ž‘–Š‹‰ 14.2 15.1 —–‘‘„‹Ž‡ 11.3 12.3 Utilities 10.9 10.2 ƒ˜‹‰• 6.2 5.1 Entertainment 5.2 5.3 Medical and Dental Care 4.0 3.7 Charitable Contributions 3.2 3.9 Household —”‹•Š‹‰• 2.9 3.1 –Š‡” 1.5 3.8 Total 100.0 100.0 Total Expenditures $34,987.00 $40,012.00 16. ’’”‘š‹ƒ–‡Ž› Š‘™ —…Š ‘‡› †‹† –Š‡ ‘‡• ˆƒ‹Ž› •’‡† ‘ ‡†‹…ƒŽ ƒ† †‡–ƒŽ care in 2006? F. $1,200 G. $1,400 H. $1,520 J. $2,250 K. $4,000

EXPLANATIONS

The Cambridge Edge Item #16 is best •‘Ž˜‡† „› “—‹…Ž› ’—…Š‹‰ –Š‡ arithmetic into a calculator. But here's a mental ƒ–Š –”‹… ˆ‘” ’‡”…‡–ƒ‰‡• –Šƒ– could come in Šƒ†› Žƒ–‡” ˆ‘” approximations: 1% of a number ‹• •‹’Ž› –Š‡ number with the decimal shifted twice to the left. So 1% of $35,000 ‹• ̈́͵ͷͲǤͲͲǤ ‘™ǡ to compute 4% of ̈́͵ͷǡͲͲͲǡ —Ž–‹’Ž› –Š‡ ˜ƒŽ—‡ ‘ˆ ͳΨ „› 4: $ . 4 350 00 # $1,400.

16. (G) Mathematics/Statistics and

Probability/Data Representation/Tables and Number and Quantity/Percentages In 2006, medical and dental care accounted for 4.0% of expenditures. ‹…‡ –Š‡ ‹–‡ •’‡…‹ϐ‹…ƒŽŽ› ƒ•• ˆ‘” an approximation, use $35,000 as the value of expenditures in 2006: . $ , $ , 0 04 35 000 1 400 : .

17. (E) Mathematics/Statistics and

Probability/Data Representation/Tables ‘–‹…‡ –Šƒ– –Š‡…ƒ–‡‰‘”‹‡• ˆ‘” ʹͲͲ͸ ƒ”‡ ƒŽ”‡ƒ†› ‹ ‘”†‡”ǡ ˆ”‘ ‰”‡ƒ–‡•– –‘ Ž‡ƒ•–Ǥ „•‡”˜‹‰ –Š‡ ʹͲͲ͹…‘Ž—ǡ ƒ˜‹‰• ƒ† –‡”–ƒ‹‡– Šƒ˜‡ ϐŽ‹’’‡†ǡ ‡†‹…ƒŽ ƒ† Dental Care and Charitable Contributions Šƒ˜‡ ϐŽ‹’’‡†ǡ ƒ† ‘—•‡Š‘Ž† —”‹•Š‹‰• ƒ† –Š‡” Šƒ˜‡ ϐŽ‹’’‡†ǡ ˆ‘” ƒ –‘–ƒŽ ‘ˆ •‹š …ƒ–‡‰‘”‹‡• –Šƒ– Šƒ˜‡…Šƒ‰‡† ’‘•‹–‹‘Ǥ