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.
