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This test is graded manually, as the questions asked do not give an exact answer, but are often estimates based on a graph.
Questions and Answers
1.
The forestry commission has collected data for a particular type of tree. The data set gives the girth of the tree in centimetres at a particular age.On Worksheet 5932, draw a graph of Girth vs Age.
2.
Plot these points on Worksheet 5932. Sketch in the curve of best fit. (Extend your curve to x=70)
3.
From the graph you have drawn for the above data, find the girth of tree at 4 years old.
Explanation You can use twopoints to 'estimate' the value between two points, (3.7, 66.4) & (5.6, 82.4) - but because it is linear, and the shape of the graph is non-linear, it would give a value around 69cm - reasonably accurate, but not perfect. However, given these are 'estimates', it would be a suitable answer.
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4.
At what age would the girth of the tree be 80cm?
Explanation You can use twopoints to 'estimate' the value between two points, (3.7, 66.4) & (5.6, 82.4) - but because it is linear, and the shape of the graph is non-linear, it would give a value around 5.32 years - which is reasonably accurate, but not perfect. However, given these are 'estimates', it would be a suitable answer.
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5.
This graph shows the temperature of a person admitted to hospital at 9:00 and the temperature recorded between 9am and 8pm.For how long did the persons temperature rise before reaching a maximum?
Explanation The graph shows the temperature of a person admitted to the hospital from 9:00 am to 8:00 pm. The temperature starts rising and reaches its maximum point after 3 hours. Therefore, it can be concluded that the person's temperature rose for 3 hours before reaching a maximum.
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6.
This graph shows the temperature of a person admitted to hospital at 9:00 and the temperature recorded between 9am and 8pm.What is the maximum temperature in degrees Celcius recorded?
Explanation The maximum temperature recorded is 40 degrees Celsius.
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7.
This graph shows the temperature of a person admitted to hospital at 9:00 and the temperature recorded between 9am and 8pm.At what time was the temperature 39 degrees?
Explanation The temperature of 39 degrees was recorded at 10:00, 14:00, 16:00, and 18:50. These times correspond to 10am, 2pm, 4pm, and 6:50pm.