BUILD FLUENCY. EARN YOUR ASCENT.Sign in Year 10
Infer and compare growth or decay rules using exact common-base values.
Free examples and worked answers. No account needed.
Practise the method.
Infer and compare growth or decay rules using exact common-base values.
Infer and compare growth or decay rules using exact common-base values.
Example 1
9x+3=312. Find x.
Show worked answer
Answer: 3
- Since 9=32, match exponents: 2(x+3)=12.
- Divide by 2 and subtract 3
- x=3.
Example 2
A population is multiplied by the same positive factor each hour. It is 24 after 1 hour and 216 after 3 hours. What is the hourly multiplier?
Show worked answer
Answer: 3
- Across two hours the multiplier is 24216=9.
- The positive hourly multiplier is 3.
Example 3
4x+1=26. Find x.
Show worked answer
Answer: 2
- Since 4=22, match exponents: 2(x+1)=6.
- Divide by 2 and subtract 1
- x=2.
Put it into practice.
Sign in to choose a set, get feedback and keep your progress.