Skip to content

Course home

Sign up

2 Unit AS 2: Applied Mathematics

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282
Question 255

The market value VVV, in pounds (£), of a limited-edition bronze sculpture is modelled by the equation

V=pqt V = pq^t V=pqt

where ttt is the number of years since its initial release and ppp and qqq are constants.

A researcher records the market value over several years. The graph of log⁡10V\log_{10} Vlog10​V against ttt is a straight line that passes through the points (0,3.15)(0, 3.15)(0,3.15) and (12,5.07)(12, 5.07)(12,5.07).

a.

Determine an equation for this line in the form log⁡10V=mt+c\log_{10} V = mt + clog10​V=mt+c.

[2]
b.

Calculate the value of ppp and the value of qqq, giving your answers to 3 significant figures.

[3]
c.

Use the model to estimate the number of years, ttt, until the sculpture reaches a value of £50,000.

[2]
Markscheme

2 Unit AS 2: Applied Mathematics Questions

  1. A Level
  2. /Maths
  3. /2 Unit AS 2: Applied Mathematics

Question bank