1_3 Homework

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1_3 Homework
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1_3_01

• In the following, write an expression in terms of
  the given variable that represents the indicated
  quantity.
• For example, the distance d traveled at a
  constant speed of 60 miles per hour during t
  hours could be written as
• d 60t

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1_3_01 a

• The cost of having a plumber spend h hours at
  your house if the plumber charges 20 for coming
  to the house and 25 per hour for labor.
• Cost 25 for each hour 20 for the house call
  
• C 25h 20

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1_3_01 b

• The amount of money in cents in a jar containing
  d dimes and some nickels and quarters, if there
  are 3 times as many nickels as dimes and twice as
  many quarters as nickels.
• Cents dimes nickels quarters
• Nickels 3d
• Quarters 2(nickels)
• c d 3d 2(3d)
• c d 3d 6d
• c 10d

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1_3_01 c

• The sum of three consecutive integers if the
  least integer is x.
• Sum First integer Second integer Third
  integer
• First integer x
• Second integer first integer 1
• Third integer second integer 1
• S x (x 1) ((x 1) 1)
• S 3x 3

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1_3_01 d

• The amount of bacteria after n minutes if the
  initial amount of bacteria is q and the amount of
  bacteria doubles every minute.
• Let b be the number of bacteria after n minutes

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1_3_01 e

• The temperature after t hours if the initial
  temperature is 40F and each hour the temperature
  drops by 3F.
• T 40 3t
• How do you feel about T and t?

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1_3_01 g

• The sum of three consecutive odd natural numbers
  if the least is x.
• Sum First Second Third
• First x
• Second first 2
• Third integer second 2
• S x (x 2) ((x 2) 2)
• S x (x 2) (x 4)
• S 3x 6

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1_3_01 h

• The sum of three consecutive natural numbers if
  the middle is m.
• Sum First Middle Last
• First Middle 1
• Middle Middle
• Last Middle 1
• S (m 1) (m) (m 1)
• S 3m

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1_3_02 a

• Find the equation for P in terms of E.

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1_3_02 b

• Express E in terms of P

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1_3_02 c

• What is Debbie's weight on Pluto if her weight on
  Earth is 135 lb?.

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1_3_02 d

• Find the weight on Earth of an object that weighs
  100 lb on Pluto.

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1_3_03
Use ratios. Multiply by 1. Cancel.

• If 1 U.S. dollar is worth 1.35 Swiss francs and 1
  Swiss franc is worth 1.22 Dutch Gilders find a
  formula that will give a U.S. tourist the amount
  of Dutch gilders g for us dollars d.

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1_3_05

• Samantha reads the temperature in Spain is 32C
  in Spain. What is the Fahrenheit temperature?

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1_3_07 a

• Write an equation relating the variables
  described in each of the following situations
• The pay P for t hours if you are paid 8 an hour.

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1_3_07 b

• Write an equation relating the variables
  described in each of the following situations
• The pay P for t hours if you are paid 15 for the
  first hour and 10 for each additional hour.

Suppose t 0
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1_3_07 c

• The total pay P for a visit and t hours of
  gardening if you are paid 20 for the visit and
  10 for each hour of gardening.

Suppose t 0
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1_3_07 d

• The total cost C of membership in a health club
  that charges 300 initiation fee and 4 for each
  of the n days attended.

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1_3_07 e

• The cost C of renting a midsized car for 1 day of
  driving m miles if the rent is 30 a day plus
  0.35 per mile.

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1_3_08 a

• Solve each of the following

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1_3_08 b

• Solve each of the following

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1_3_10

• David has three times as much money as Rick.
  Together they have 400. How much does each have?

David has 300 Rick has 100
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1_3_13

• For a certain event 812 tickets were sold for a
  total of 1912. If students paid 2 per ticket
  and non students paid 3 per ticket, how many
  students tickets were sold?

Students 524 Non Students 288
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1_3_14

• A man left an estate of 64,000 to three
  children. The eldest child received three times
  as much as the youngest. The middle child
  received 14,000 more than the youngest. How
  much did each child receive?
• E eldest
• M middle
• Y youngest

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1_3_19a

• List the terms to continue a possible pattern in
  the following sequences
• 7, 14, 21, 28,
• Arithmetic
• Counting up by 7 (BUZZ)
• 35, 42, 49, 56, 63,

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1_3_19b

• List the terms to continue a possible pattern in
  the following sequences
• 4, 1, 8, 1, 12
• Neither arithmetic nor geometric
• Every second term is 1
• Counting up by 4
• 1, 16, 1, 20, 1, 24,

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1_3_20

• Find the nth term for the following arithmetic
  sequence
• 12, 32, 52, 72,
• Adding 20 each time
• nth term a d(n 1)
• nth term 12 20(n 1)
• nth term 20n 8

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1_3_21

• Find how many terms are in the following
  arithmetic sequence
• 6, 10, 14, 18, 86
• nth term a d(n 1)
• nth term 6 4(n 1)
• nth term 4n 2
• 86 4n 2
• 84 4n
• 21 n

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1_3_22

• In how many ways can you make change for 0.21?
• Nine ways