From the given data determine if Account Balance is a functi
From the given data, determine if Account Balance is a function of Week.
| Account Balance | 3,250 | 3,500 | 3,450 | 3,700 | 3,500 | 3,800 | 
| Week | 1 | 2 | 3 | 4 | 5 | 6 | 
Solution
Notice that we need to find if Acc Balance is a function of week
So, here Account balance is the independent variable, y
and week number is the dependent variable, x
For a table to be classified as a function, the only hing that mus satisfy is that :
For every value of x, there must NOT BE more than 1 value of y
IT is ok if for every y , there is more than 1 value of x
So, for example, we can never have a coordinate (1,2) and (1,3) --> same x , different y is not allowed
But it is perfecly ok to have (2,1) and (3,1) ---> same y, different x is allowed.
Notice that here \"week\" is the x.
Notice that all x\'s are different, 1 , 2 , 3 , 4 , 5 and 6
So, this is DEFINITELY a function because no \'x\' is repeated and thus, there is no possibility for the \"same x , different y\" scenario here
So, yes, it is a function

