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

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 SolutionNotice tha

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