ADDITIONAL TASK - Water in Numbers

7/31/2019 ADDITIONAL TASK - Water in Numbers

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TASK 1

1) Study each country's monthly water bill ofan average family.2) Set a function which will help you tocalculate monthly cost of x m3 of used water.

3) Represent the function graphically.4) Calculate how much it must be paid for10m3, 20m3, 30m3.5) How much water was used if the family

paid 30z, 50z, 100z?6) How many ice-cream balls you can buyfor the money used to pay for 10m3 of water?


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1. family 120,62z

2. family 144,75z

3. family 48,25z

4. family 72,37z

5. family 106,15z

6. family 57,90z

7. family 96,50z

8. family 135,1z

9. family 86,85z

10. family 111,94z

1) 1 m39,65z


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2) f(x) = 9,65 * x

f(x) - cost of the water usedx - amount of the water in m3

3) Function graph

0

96.5

193

289.5

386

482.5

0

100

200

300

400

500

600

0 10 20 30 40 50

f(x)- cost of the

water used

x- amount of water in m 3


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4) Cost for 10m3:

f(x)= 9.65 z/m3 * 10m3 = 96.50 zAnswer: For 10m3 we pay 96,50z

Cost for 20m

3

:f(x) = 9.65 z/m3 * 20m3 = 193 z

Answer: For 20m3 we pay 193z

Cost for 30m3:

f(x) = 9.65z/m3* 30m3 = 289.50 zAnswer: For 30m3 we pay 289,50z


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5) 30z = x * 9,65 z/m3x = 30:9,65

x = 3,11 m3

Answer: It was used 3,11m3

50z= x * 9,65 z/m3

x = 50:9,65x = 5,18 m3


100z = x * 9,65 z/m3x = 100:9,65

x = 10,36 m3



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6)

For 10 m

3

we pay 96,50 z

96,50 z : 1,50 z = 64,3

Answer:

We can buy 64 scoops of ice-cream


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TASK 21) The tap in your kitchen is damaged

therefore water is dripping out of it. In 5minutes 100 ml of water goes out of thedamaged tap. How much water ( litres)dripped of the tap per month?

2) Calculate the percentage of drippedwater amount, if previous month bill was26.20z3) How many ice-cream balls can you buy

for that money?


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1) 5 min 100 ml

43200 min x ml

x = (43200 * 100):5 = 864000 ml

1l = 1000 ml

864000 ml /1000 ml = 864 l

Answer:

Within a month leak of 864 l water


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2) 864l =0,864m3

0,864 m3* 9,65 z/m3=8,34z

26,20 z100%

8,34z - x %

x= (8,34 * 100) : 26,20

x= 31,83 %

Answer: It is 31,83%.

3) 8,34z/1,50z = 5,56Answer: I can buy 5 ice-cream balls


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TASK 3

1) The cistern in your bathroom is not

good and water leaks. 50 ml of water leaksper 1 minute. Calculate how many litres of

water leaks per a month?

2) How much it will increase inpercentage, if the bill for the previous

month was 26.20z ?3) How many ice-cream balls you can buy

for it?


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1)

1 min - 50 ml of water

24 hours = 1440 minutes

1440 min * 30 days = 43 200 min43200min * 50 ml =2160000ml = 2160l = 2.16 m3

Answer:

Within a month leak of 2,16 m3

of water.


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2) 2160l = 2,16m326,20/9,65 = 2,72m32,72m3 + 2,16m3 = 4,88m3

2,72m3 - 100%4,88m3 - x%x = (4,88 * 100):2,72

x = 179,4%Answer:

It will increase the usage of water for 79,4%.

3) 2,16m3

* 9,65z/m3

= 20,84z20,84z : 1,50z = 13,89Answer:

It leaked for 13 ice-cream balls.


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TASK 41)In our school there are 33 classes.In 4

classes we have interactive whiteboards. Inevery class each blackboard is cleanedapproximately 50 times a week. If 2 litres ofwater are used for one cleaning of ablackboard, how many cubic meters ofwater do we use in one month?2)How much do we pay for the water used inone month?3)If an interactive board approximately costs5000z, for how many months should westop cleaning blackboards to raise enough

money to buy an interactive one?


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1) 33 - 4 = 29 rooms with a ordinary board

29 * 50 = 1450

1450 * 2 = 2900dm3 /week

2900dm3 = 2,9m3

7 day - 2,9m3

30 day - x

x = (30 * 2,9)/7

x = 12,43m3Answer: We consume 12,43m3


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2)

12,43 * 9,65 z = 119,95zAnswer:

We should pay 119,95z

3)

5000z /119,95z = 41,68 per monthAnswer:

We should save for 42 months


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TASK 5

How can bathers prevent wasting water?

1)Every pair of shorts absorb about 100 ml ofwater more than Speedo swimming pants.

2) Calculate:

a) How much water will be drained from a pool

where 200 men swim every day and then go outof the pool to dry out three times a day?

b) Calculate the amount of water per:

a week

a month

a season (3 months)

Show the results in liters and cubic meters


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1) 1 pair shorts100ml

2a) 200 *100 * 3 = 60000 ml /day

60000 ml = 60 l = 0,06m3

2b) week:

60 l * 7 days = 420 l = 0,42m3month:

60 l * 30 days = 1800 l = 1,8m3

quarter:

60 l * 90 days = 5400 l = 5,4m3


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TASK 6

1) After nine days of a journey through thedesert the Bedouins realised that they

had already drunk 60% of their water

supplies. They had only 48 water vessels.

2) For how many per cent they should

diminish their everyday water rations that

it would be enough for another eight days?


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x - the amount of the water vessels at the beginning of the

journey.

40% * x = 48

0,4 * x = 48

x = 48 :0,4

x = 120

120 - 48 = 72

72 : 9 = 8

48 : 8 = 6

8 - 6 = 22/8 * 100% = 0,25 * 100% = 25%

Answer: Everyday water rations should be diminished for 25%


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THANK YOU FOR

YOUR ATTENTION

Students: Angelika Adamczyk

Paulina WjcikKlaudia Mosek

Pawe Celiski-Spodar

Adam KolczykTeacher: mgr in. Sylwia Piwowarczyk

ADDITIONAL TASK - Water in Numbers

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