MATH 110-Finite Mathematics with Applications Test
1. A company wants to decrease their energy use by 15%. (a) Solution: $2,200 (0.15) = $330, $2,200 - $330 = Ans: $1,870
If their electric bill is currently $2,200 a month, what will their
bill be if they are successful?
(b) If their next bill is $1,700 a month, are they successful? They are not successful because even though the bill did decrease, they would not be
Why or Why not? paying $1,700 a month.
2. (a) An article reports "attendance dropped 6% this year to Dropping by 6% is the same as keeping 94%. a(0.94) = 300. a = 319.15. Attendance was
300." What was the attendance before the drop? about 319 before the drop.
(b) A store has clearance items that have been marked down If the original price was $100, the basic clearance price would be $100 - $100(0.60) =
by 60%. They are having a sale, advertising an additional 30% $40. The additional markdown would bring it to $40 - $40(0.30) = $28. This is 28% of the
off clearance items. What percent of the original price do original price.
you end up paying?
Are these two claims equivalent, in conflict, or not These are not comparable; "a" is using a base of all Americans and is talking about
comparable because they're talking about different things? health insurance from any source, while "b" is using a base of adults and is talking
a. "16.3% of Americans are without health insurance"7 b. "only specifically about health insurance provided by employers.
55.9% of adults receive employer provided health insurance"
. Are these two claims equivalent, in conflict, or not These statements are equivalent, if we assume the claim in "a" is a percentage point
comparable because they're talking about different things? increase, not a relative change. Certainly these messages are phrased to convey
a. "The school levy is only a 0.1% increase of the property tax different opinions of the levy. We are told the new rate will be $9.33 per $1000, which is
rate." b. "This new levy is a 12% tax hike, raising our total rate 0.933% tax rate. If the original rate was 0.833% (0.1 percentage point lower), then this
to $9.33 per $1000 of value." would indeed be a 12% relative increase
5. (a)Four 3-megawatt wind turbines can supply enough Solutions: 4/3,000 = x/55,000. 4 x 55,000 = 220,000. 220,000/3,000 = 73.3 = 74. x = 74
electricity to power 3000 homes. How many turbines would
be required to power 55,000 homes?
1 of 2
1. A company wants to decrease their energy use by 15%. (a) Solution: $2,200 (0.15) = $330, $2,200 - $330 = Ans: $1,870
If their electric bill is currently $2,200 a month, what will their
bill be if they are successful?
(b) If their next bill is $1,700 a month, are they successful? They are not successful because even though the bill did decrease, they would not be
Why or Why not? paying $1,700 a month.
2. (a) An article reports "attendance dropped 6% this year to Dropping by 6% is the same as keeping 94%. a(0.94) = 300. a = 319.15. Attendance was
300." What was the attendance before the drop? about 319 before the drop.
(b) A store has clearance items that have been marked down If the original price was $100, the basic clearance price would be $100 - $100(0.60) =
by 60%. They are having a sale, advertising an additional 30% $40. The additional markdown would bring it to $40 - $40(0.30) = $28. This is 28% of the
off clearance items. What percent of the original price do original price.
you end up paying?
Are these two claims equivalent, in conflict, or not These are not comparable; "a" is using a base of all Americans and is talking about
comparable because they're talking about different things? health insurance from any source, while "b" is using a base of adults and is talking
a. "16.3% of Americans are without health insurance"7 b. "only specifically about health insurance provided by employers.
55.9% of adults receive employer provided health insurance"
. Are these two claims equivalent, in conflict, or not These statements are equivalent, if we assume the claim in "a" is a percentage point
comparable because they're talking about different things? increase, not a relative change. Certainly these messages are phrased to convey
a. "The school levy is only a 0.1% increase of the property tax different opinions of the levy. We are told the new rate will be $9.33 per $1000, which is
rate." b. "This new levy is a 12% tax hike, raising our total rate 0.933% tax rate. If the original rate was 0.833% (0.1 percentage point lower), then this
to $9.33 per $1000 of value." would indeed be a 12% relative increase
5. (a)Four 3-megawatt wind turbines can supply enough Solutions: 4/3,000 = x/55,000. 4 x 55,000 = 220,000. 220,000/3,000 = 73.3 = 74. x = 74
electricity to power 3000 homes. How many turbines would
be required to power 55,000 homes?
1 of 2
