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2.7 Solving Modulus Problems

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Question 16

A geophysicist is monitoring the normalized amplitude AAA of two different seismic waves over time ttt. Given that kkk is a positive constant,

a.

on separate diagrams, sketch the graph with equation

(i) A=3k−2∣t∣A = 3k - 2|t|A=3k−2∣t∣

(ii) A=∣5t−k∣A = |5t - k|A=∣5t−k∣

Show on each sketch the coordinates, in terms of kkk, of each point where the graph meets or cuts the axes.

[4]
b.

Hence determine, in terms of kkk, the values of ttt for which

∣5t−k∣=3k−2∣t∣ |5t - k| = 3k - 2|t| ∣5t−k∣=3k−2∣t∣

giving your answers in simplest form.

[4]
Markscheme

2.7 Solving Modulus Problems Questions

  1. A Level
  2. /Maths
  3. /2.7 Solving Modulus Problems

30 exam-style questions on Edexcel A Level Maths 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.

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