Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths OCR (MEI)
  5. Question bank

1.8.7 Reduce y = ax^n and y = ab^x to linear form

EasyMedium
1234567891011121314151617181920212223242526272829303132333435363738394041
Question 35

The surface area SSS, in mm2\text{mm}^2mm2, of a metallic crystal growing in a laboratory environment is monitored over time. The surface area is modelled by the equation

log⁡10S=0.85+0.072t \log_{10} S = 0.85 + 0.072t log10​S=0.85+0.072t

where t t\,t is the time in hours after the crystal began to form.

Use the equation of the model to answer parts (a) and (b).

a.

Find the initial surface area of the crystal, giving your answer to 2 decimal places.

[2]
b.

After T T\,T hours, the surface area reaches 120 mm2. Find the value of TTT, giving your answer to 2 decimal places.

[3]

1.8.7 Reduce y = ax^n and y = ab^x to linear form Questions

  1. A Level
  2. /Maths
  3. /1.8.7 Reduce y = ax^n and y = ab^x to linear form