Babysitting powers
This task is about solving maths problems involving powers.
Uncle Tipene, who likes maths, agreed to pay Ana to babysit. He said she would get paid using the formula 2^{n} (2 to the power of n) dollars, where n is the number of hours that Ana worked. This meant that if Ana worked for 5 hours, she would get paid 32 dollars.
a)

How much would Ana get paid if she worked for (Write your answers as whole numbers.)


i)
ii) iii) 
1 hour? $__________
3 hours? $__________ 6 hours? $__________ 

b)

Uncle Tipene agreed that he would still use the same formula if Ana wasn't needed. This would mean n = 0.
How much would Ana get if she wasn't needed? $__________


c) 
If Ana got paid $256, show how to work out the number of hours she had babysat for.


d)

Explain how the rate Ana gets paid (2^{n}) compares to getting $4 per hour.
