Edexcel IALMathematicsGeneral Applications4 Marks
The value, V, of a product, t years after it was launched, is modelled by the differential equation dV/dt = kV/(t + 1), where k is a constant. (c) Find the percentage loss in the value of the product during the 3rd year, giving your answer to 1 decimal place.
- (c)Find the percentage loss in the value of the product during the 3rd year, giving your answer to 1 decimal place.[4]
Mark scheme
Marking points from the official mark scheme. The mark or mark type is shown in brackets.
- M1 for using k = -1 in the formula V = V₀(t + 1)^k.
- A1 for correctly finding V₂ = V₀(2 + 1)^(-1) = V₀/3 and V₃ = V₀(3 + 1)^(-1) = V₀/4.
- M1 for calculating the percentage loss: ( (V₂ - V₃) / V₂ ) * 100.
- A1 for 25.0% (1 d.p.).
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