Contemporary Mathematics

# Chapter Test

### Chapter Test

1 .
A person’s length from their belly button to the floor is 3 ft 8 in, assuming the ratio is golden. What is the person’s approximate height rounded to the nearest inch?
2 .
The leaves on an invasive weed mirror the Fibonacci sequence. If a set of leaves on the plant contains 13 leaves, how many leaves would be found on the previous smaller set of leaves?
3 .
The 14th term of the Fibonacci sequence is 377 and the 15th term is 610. What is the 13th term of the sequence?
4 .
A fence has dimensions of 40 in by 25 in. Calculate the ratio of the sides rounded to the nearest tenth and determine if the size approximates a golden rectangle.
5 .
An average toilet uses 5 gal of water per flush. A high-efficiency toilet uses about 1.25 gal per flush. How much water would a dorm save in an academic year (32 weeks) if the toilet was flushed 22 times a day?
6 .
When washing dishes, leaving the faucet running utilizes about 15 gal every 5 minutes, whereas filling the sink and turning the faucet off except to rinse the dishes uses about 5 gal for washing a dishpan-sized load of dishes. How much water is saved by not leaving the faucet running if it takes 10 minutes to wash a dishpan-sized load of dishes each day for a week?
7 .
How long would it take for a 75 W light bulb to consume 1 kW of power? Round your answer to the nearest hour.
8 .
A phone charger uses about 20 W. How many kilowatt-hours are needed to use the charger during a month if the charger is used for an average of 1.5 hours a day?
9 .
A pharmacy has a 1 L bottle of 0.9% solution of sodium chloride. How many grams of sodium chloride are contained in the bottle?
10 .
A prescription calls for a patient to receive 5.1 mg of a drug to be taken in oral form. If the pills are available in 1.7 mg, how many pills will the patient need daily?
11 .
A prescription calls for a patient to receive 7 mg daily of a drug to be taken daily for 7 days. If the pills are available in 1.75 mg, how many pills are needed to fill the prescription?
12 .
A patient is prescribed 3.8 mg/kg of a drug to be delivered daily intramuscularly, divided into two doses. If the patient weighs 20 kg, how many milligrams of the drug are needed for each dose?
13 .
Select the most representative decibel value for a college classroom with students working in groups: 10 dB, 30 dB, 50 dB.
14 .
What is typically the top frequency that adults over 20 can hear: 17 Hz, 170 Hz, 1,700 Hz, 17,000 Hz?
15 .
What note is three whole steps down from F#?
16 .
Given that the approximate frequency of ${{\rm{C}}_4}^\# = 277\,{\rm{Hz}}$, what is the approximate frequency of C2# rounded to the nearest whole number?
For the following exercises, compute how many games would be played in the style of tournament and number of teams given in each question. Assume all tournaments are single round-robin or single-elimination.
17 .
How many games would be played with 22 teams using a round-robin tournament?
18 .
How many games would be played with 7 teams using a round-robin tournament?
19 .
How many games would be played with 8 teams using a single-elimination tournament?
20 .
How many games would be played with 17 teams using a single-elimination tournament?
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