The function that best models the total number of businesses is y = nx + b. So, option A is correct.
A function is an algebraic expression that relates the input variable to the output variables.
In every function there are independent variables(input) and dependent variables(output).
It is given that,
The number of businesses per year = n
The DBA plans to have members for x years.
So, the total number of businesses for x years = n × x = nx
There are b businesses in the DBA at the beginning.
So, the expression for the total businesses in DBA after x years is
nx + b
Then, the function that best models the total number of businesses in the DBA is
y = nx + b
Thus, option A is correct.
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