Skip to content
MathsGenie logo
Open app

Course home

  1. A Level
  3. Maths AQA
  5. Question bank

1.9 F: Exponentials and logarithms

EasyMedium
1234567891011121314151617181920212223242526272829
Question 27

The value of a car is modelled using the formula V=17100e−0.2t+2000V = 17100e^{-0.2t} + 2000V=17100e−0.2t+2000

a.

Find the initial value of the car.

[1]
b.

Given the model predicts that the value of the car is decreasing at a rate of £1000 per year at the instant when t=Tt = Tt=T, (i) Show that 3420e−0.2T=10003420e^{-0.2T} = 10003420e−0.2T=1000 and (ii) find the age of the car at this instant, giving your answer in years and months to the nearest month.

[6]

1.9 F: Exponentials and logarithms Questions

  1. A Level
  2. /Maths
  3. /1.9 F: Exponentials and logarithms

Practise AQA A Level Maths 1.9 F: Exponentials and logarithms with exam-style questions for A Level Maths. 37 questions covering 1.9.1 Exponential functions and their graphs, 1.9.2 Gradient of e^kx (A-level only), 1.9.3 Logarithms as inverse functions, 1.9.4 Laws of logarithms, 1.9.5 Solving exponential equations, 1.9.6 Logarithmic graphs to estimate parameters (A-level only), and 1.9.7 Exponential growth and decay, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank