PROPORTIONALITY

PROBLEMS

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11.  Janet's car uses 9 gallons to go 200 miles.

1.  a)  How many gallons will she use to go 400 miles?  18

1.  b)  How many gallons will she use to go 600 miles?  27

1.  c)  How far can she drive with 36 gallons?  800 miles

12.  Bertha went on a diet and lost 5 pounds in 2 weeks.  How long will it
2.  take her to lose 15 pounds?  6 weeks

13.  Carlos makes $25 in 4 hours.  

3.  a)  How much will he make in 2 hours?  $12.50

3.  b)  How much will he make in 20 hours?  $125

3.  c)  How much will he make in 22 hours?  $137.50

14.  Carla makes $50 in 8 hours.

4.  a)  How much will she make in 4 hours?  $25

4.  b)  How much will she make in 20 hours?  $125

4.  c)  How much will she make in 36 hours?  $225

15.  6 bottles cost $7.00.

5.  a)  How much will 18 bottles cost?  $21

5.  b)  How much will 15 bottles cost?  $17.50

5.  c)  How much will 27 bottles cost?  $31.50

5.  d)  How many bottles can you buy with $10.50?  9

16.  Which is a better value?

6.  a)  15 ounces for $9.25, or 30 ounces for $18.00?  30 ounces for $18.

6.  b)  15 ounces for $9.25, or 5 ounces for $3.29?  15 ounces for $9.25.

17.  Which is a better value, 3 pounds for $7.00, or 10 pounds for $21.00?

 10 pounds for $21.

18.  The time it takes to do a job is inversely proportional to the number
18.  of workers.  Therefore, if 4 workers can do a job in 7 hours,

18.  a)  how long will in take 8 workers to do that job?  3½ hours.

18.  b)  how long will in take 2 workers to do that job?  14 hours.

19.  If 5 men can paint a house in 36 hours,

19.  a)  how many men would be needed to paint the house in 12
19.  a)  hours?  15

19.  b)  how long would it take 1 man to paint the house?  180 hours.

10.  The speed that a car can achieve after 10 seconds is inversely
10.  proportional to its weight.  A car that weighs 1800 pounds got to 56
10.  miles per hour.  How fast could it have gone if it had weighed

10.  a)  3600 pounds?  28 mph

10.  b)  900 pounds?  112 mph

10.  c)  1200 pounds?  84 mph


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