The line graph shows the amount of water in a tank from 1 p.m. to 5 p.m. The tank was 20% filled at 1 p.m. Water flowed into the tank from 1 p.m. to 5 p.m.

- (a)
During which 1-hour interval was the flow into the tank the greatest?
Ans : (a) ___ to ___
- (b)
At 5 p.m., what fraction of the tank was filled with water?
Ans : (b) ___
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Worked solution
29(a)
1. Read the volume of water at each hour from the graph
At 1 p.m.: litres
At 2 p.m.: litres
At 3 p.m.: litres
At 4 p.m.: litres
At 5 p.m.: litres
2. Calculate the flow (increase in volume) for each 1-hour interval
1 p.m. to 2 p.m.: litres
2 p.m. to 3 p.m.: litres
3 p.m. to 4 p.m.: litres
4 p.m. to 5 p.m.: litres
3. Identify the interval with the greatest flow
The greatest increase is litres, which occurred from 2 p.m. to 3 p.m.
2 p.m. to 3 p.m.
29(b)
1. Find the total capacity of the tank using the data at 1 p.m.
At 1 p.m., the volume of water is litres, which corresponds to of the tank.
The total capacity of the tank is litres.
2. Calculate the fraction of the tank filled at 5 p.m.
At 5 p.m., the volume of water is litres.
Fraction of tank filled =
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