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WMA11/01 Oct 2022, Question 3: Equation of a Line Through Two Points

Pearson Edexcel International AS Level Mathematics · Pure Mathematics 1 (WMA11) · Calculator · 5 marks

The question, in short

Share price modelled by V = pt + q, with values £1.05 at t = 3 and £1.65 at t = 5. Find p and q, then find T when V = £2.50 to one decimal place.

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Part (a) · 3 marks

Use the two given share prices at t = 3 and t = 5 to find the constants p and q.

  1. 11.05 = 3p + q and 1.65 = 5p + q
  2. 2Subtract: 2p = 0.6 ⇒ p = 0.3
  3. 3q = 1.05 − 0.9 = 0.15

Answerp = 0.3, q = 0.15

Part (b) · 2 marks

Using your model, find the value of T when the share price is £2.50, to one decimal place.

  1. 12.50 = 0.3T + 0.15
  2. 20.3T = 2.35
  3. 3T = 7.83… = 7.8 (1 d.p.)

AnswerT = 7.8

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Also searched as: WMA11 October 2022 · WMA11/01 · wma11 oct22 · IAS Maths Pure Mathematics 1 October 2022 · question 3.
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