5932 Non-linear Real World Graphs

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| By Anthony Nunan

Anthony Nunan

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Quizzes Created: 132 | Total Attempts: 44,432

Questions: 9 | Attempts: 112 | Updated: Mar 21, 2024

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5932 Non-linear Real World Graphs - Quiz

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.

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8.

This graph shows the temperature of a person admitted to hospital at 9:00 and the temperature recorded between 9am and 8pm.What was the temperature at 18:00?

Explanation
The graph shows the temperature of a person admitted to the hospital at 9:00 and records the temperature between 9am and 8pm. Since the given answer is 39.5 degrees Celsius, it can be inferred that the temperature at 18:00 was 39.5 degrees Celsius.

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9.

This graph shows the temperature of a person admitted to hospital at 9:00 and the temperature recorded between 9am and 8pm.Assuming the temperature continues to fall after 20:00, what time would you expect the temperature to reach 37 degrees?

Explanation
Based on the graph, we can see that the temperature is decreasing gradually over time. The temperature reaches 37 degrees at around 19:45 or 7:45pm. Therefore, this is the expected time for the temperature to reach 37 degrees assuming it continues to fall after 20:00.

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10.

Find by interpolation a y value corresponding to x = 25
11.

Find by extrapolation a y value corresponding to x = 60

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Current Version
Mar 21, 2024

Quiz Edited by
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Jul 18, 2014

Quiz Created by
Anthony Nunan

5932 Non-linear Real World Graphs

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.

Plot these points on Worksheet 5932. Sketch in the curve of best fit. (Extend your curve to x=70)

From the graph you have drawn for the above data, find the girth of tree at 4 years old.

At what age would the girth of the tree be 80cm?

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?

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?

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?

This graph shows the temperature of a person admitted to hospital at 9:00 and the temperature recorded between 9am and 8pm.What was the temperature at 18:00?

This graph shows the temperature of a person admitted to hospital at 9:00 and the temperature recorded between 9am and 8pm.Assuming the temperature continues to fall after 20:00, what time would you expect the temperature to reach 37 degrees?

Find by interpolation a y value corresponding to x = 25

Find by extrapolation a y value corresponding to x = 60