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2.5 Data presentation and interpretation

2.5 Data presentation and interpretation

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Question 145
i.

The intensity I I\,I of radiation at a distance d d\,d from a source is modeled by the equation

I=109d3,d>0 I = \frac{10^9}{d^3}, \quad d > 0 I=d3109​,d>0

Sketch the graph of log⁡10I\log_{10} Ilog10​I against log⁡10d\log_{10} dlog10​d. Show on your sketch the coordinates of the points of intersection of the graph with the axes.

[4]
ii.

A biologist monitors the growth of a bacterial colony. The relationship between the population size P P\,P and time ttt (in hours) is represented by a linear relationship between log⁡5P \log_5 P\,log5​P and ttt. The graph of log⁡5P \log_5 P\,log5​P against t t\,t is a straight line passing through the points (0,2)(0, 2)(0,2) and (−10,0)(-10, 0)(−10,0). Show that P=abtP = ab^tP=abt where a a\,a and b b\,b are constants to be found.

[5]
Markscheme

2.5 Data presentation and interpretation Questions

  1. A Level
  2. /Maths
  3. /2.5 Data presentation and interpretation

278 exam-style questions on CCEA A Level Maths 2.5 Data presentation and interpretation, covering 2.5.1 Data presentation and interpretation, 2.5.2 Data presentation and interpretation, 2.5.3 Data presentation and interpretation, 2.5.4 Data presentation and interpretation, 2.5.5 Data presentation and interpretation, 2.5.6 Data presentation and interpretation, 2.5.7 Data presentation and interpretation, 2.5.8 Data presentation and interpretation, 2.5.9 Data presentation and interpretation, and 2.5 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.

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