Standard +0.3 This is a straightforward two-part question requiring expansion of sin(θ+α) using the addition formula, algebraic manipulation to isolate tan θ, then substitution of α=40° and calculator work. The 'show that' structure guides students through the method, and the techniques are standard C4 material with no novel insight required. Slightly easier than average due to the scaffolding.
The linear model gives a record time greater than 120 minutes for all values of \(t\) (i.e. \(R > 120\) for all \(t\) in the model's range)
B1
Accept equivalent explanation that the line never reaches 120 minutes
# Question 3:
| Answer | Mark | Guidance |
|--------|------|----------|
| The linear model gives a record time greater than 120 minutes for all values of $t$ (i.e. $R > 120$ for all $t$ in the model's range) | B1 | Accept equivalent explanation that the line never reaches 120 minutes |
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