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2.5 Data presentation and interpretation

2.5 Data presentation and interpretation

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Question 167

The growth of a specialized digital database is being tracked. The total amount of data stored, DDD terabytes (TB), at time ttt years after the system went online is modelled by the equation

log⁡10D=0.65+0.42t \log_{10} D = 0.65 + 0.42t log10​D=0.65+0.42t
a.

Write this equation in the form D=pqtD = pq^tD=pqt, where ppp and qqq are constants to be found. Give each value to 4 significant figures.

[3]
b.

When t=Tt = Tt=T, the amount of data stored is 350 TB. Find the value of TTT according to the model, giving your answer to 3 significant figures.

[2]
c.

The current hardware infrastructure can accommodate a maximum of 2,000 TB. Determine whether or not the data volume will exceed this limit within the first 6 years of the study.

[2]
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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