Skip to content

Course home

Sign up

Exponentials and Logarithms

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158
Question 80

The temperature of water in a kettle is modelled using the equation T=75e−kt+25T = 75e^{-kt} + 25T=75e−kt+25

a.

The temperature of the water approaches the room temperature as t→∞t \to \inftyt→∞. State the value of the room temperature in the equation T=75e−kt+25T = 75e^{-kt} + 25T=75e−kt+25

[1]
b.

The value of k k\,k is 415\displaystyle \frac{4}{15}154​. When the kettle is turned off find the rate of decrease of the water temperature

[3]
c.

The water takes 3.44 minutes to cool. Find the temperature of the water, giving your answer to 3 significant figures

[3]
Markscheme

Exponentials and Logarithms Questions

  1. A Level
  2. /Maths
  3. /Exponentials and Logarithms

277 exam-style questions on Edexcel A Level Maths Exponentials and Logarithms, covering 14.1 Exponential Functions, 14.2 y = e^x, 14.3 Exponential Modelling, 14.4 Logarithms, 14.5 Laws of Logarithms, 14.6 Solving Equations using Logarithms, 14.7 Working with Natural Logarithms, and 14.8 Logarithms and Non-Linear Data. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank