Page 500 - Basic College Mathematics with Early Integers

S E C T I O N 6.4 I APPLICATIONS OF PERCENT 477

27. An owner of a repair service company estimates 28. A manufacturer of electronic components expects
that for every 40 hours a repairperson is on the job, 1.04% of its products to be defective. Determine the
he can bill for only 78% of the hours.The remaining number of defective components expected in a batch
hours, the repairperson is idle or driving to or from a of 28,350 components. Round to the nearest whole
job. Determine the number of hours per 40-hour component.
week the owner can bill for a repairperson.

29. A car manufacturer announced that next year the 30. A union contract calls for a 6.5% salary increase for
price of a certain model of car will increase by 4.5%. all employees. Determine the increase and the new
This year the price is $19,286. Find the increase in salary that a worker currently making $58,500 under
price and the new price. this contract can expect.

A popular extreme sport is artificial wall climbing.The photo shown is an artificial climbing wall. Exercises 31 and 32 are
about the Footsloggers Climbing Tower in Boone, North Carolina.

31. A climber is resting at a height of 21 feet while on the
Footsloggers Climbing Tower. If this is 60% of the
tower’s total height, find the height of the tower.

32. A group plans to climb the Footsloggers Climbing
Tower at the group rate, once they save enough
money.Thus far, $126 has been saved. If this is 70%
of the total amount needed for the group, find the
total price.

33. Tuition for an Ohio resident at the Columbus 34. The population of Americans aged 65 and older was
campus of Ohio State University was $4761 in 2001. 38 million in 2007.That population is projected to
The tuition increased by 82.3% during the period increase by 90% by 2030. Find the increase and the
from 2001 to 2009. Find the increase and the tuition projected 2030 population. (Source: Bureau of the
for the 2009–2010 school year. Round the increase to Census)
the nearest whole dollar. (Source: Ohio State
University)

35. From 2008–2009 to 2017–2018, the number of 36. From 2008–2009 to 2017–2018, the number of
associate degrees awarded is projected to increase by bachelor degrees awarded is projected to increase by
5.7%. If the number of associate degrees awarded in 8%. If the number of bachelor degrees awarded in
2008–2009 was 731,000, find the increase and the 2008–2009 was 1,603,000, find the increase and the
projected number of associate degrees awarded in the projected number of bachelor degrees awarded in the
2017–2018 school year. (Source: National Center for 2017–2018 school year. (Source: National Center for
Education Statistics) Education Statistics)

Objective Find the amount of increase and the percent increase. See Example 5.

Original Amount New Amount Amount of Increase Percent Increase
37. 50 80
38. 8 12
39. 65 117
40. 68 170