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1 Unit 1: Pure Mathematics A

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Question 122
59%

The temperature, θ∘C\theta^\circ\text{C}θ∘C, of a cup of tea t t\,t minutes after measurements began, is modelled using the formula θ=68e−0.15t+21,t≥0\theta = 68e^{-0.15t} + 21, t \geq 0θ=68e−0.15t+21,t≥0

a.

Sketch the graph of θ \theta\,θ against ttt.

[2]
b.

Find according to the model the initial temperature of the tea.

[1]
c.

Find the value of t t\,t when the cup of tea reaches 40∘C40^\circ\text{C}40∘C.

[3]
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1 Unit 1: Pure Mathematics A Questions

  1. A Level
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