Question

# The Downtown Business Association (DBA) in a certain city plans to increase its membership by a total of n businesses per year. There were b businesses in the DBA at the beginning of this year. Which function best models the total number of businesses, y, the DBA plans to have as members x years from now?

## The correct answer is:

### The DBA plans to increase its membership by n businesses each year,

After x years from now, the association plans will be increased its membership by nx businesses.

As there are already b businesses at the beginning of this year,

the total number of businesses = y

The DBA plans to have as members x years from now can be given by

y = nx + b.

Next we will check for other options

Option B is incorrect. The equation given in choice B correctly represents the increase in membership x years from now as nx. However, the number of businesses at the beginning of the year, b, has been subtracted from this amount of increase, not added to it.

Options C and D are incorrect because they use exponential expressions to represent the increase in membership. Since the membership increases by n businesses each year, this situation is represented by a linear relationship

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