Skip to content
MathsGenie logo
Open app

Course home

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

Exponential Models

EasyMedium
1234567891011121314151617181920212223242526272829303132333435363738394041
Question 26

A scientist is studying the growth of a synthetic crystal in a laboratory. The mass of the crystal, MMM grams, recorded ddd days after the growth process began, is modelled by the equation

log⁡10M=0.0607d+1.1760≤d≤20 \log_{10} M = 0.0607d + 1.176 \quad 0 \le d \le 20 log10​M=0.0607d+1.1760≤d≤20
a.

Show that this equation may be written in the form

M=abd M = ab^d M=abd

where aaa and bbb are constants to be found. Give the value of aaa to the nearest integer and give the value of bbb to 3 significant figures.

[3]
b.

Use the model to predict the mass of the crystal 20 days after the growth process began. Give your answer to 2 significant figures.

[2]

Exponential Models Questions

  1. A Level
  2. /Maths
  3. /Exponential Models

Practise Edexcel A Level Maths Exponential Models with exam-style questions for A Level Maths. 42 questions, matched to the Edexcel A Level Maths (9MA0) 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