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2.5 Data presentation and interpretation

2.5 Data presentation and interpretation

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Question 83

An environmental engineer is monitoring the concentration of a specific organic compound, CCC mg/L, in a testing chamber. The concentration ddd days after the start of the observation is modelled by the equation

C=pqd C = pq^d C=pqd

where ppp and qqq are positive constants.

A graph shows a linear relationship between log⁡10C\log_{10} Clog10​C and ddd. The line passes through the points (0,0.85)(0, 0.85)(0,0.85) and (12,1.45)(12, 1.45)(12,1.45).

a.

Find, to 3 decimal places, the value of ppp and the value of qqq.

[4]
b.

Using the model with the values found in part (a), find the rate of increase of the concentration of the compound, in mg/L per day, exactly 8 days after the start of the study. Give your answer to 2 decimal places.

[3]
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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