1. Imagine you are in the market for a new home and are interested in a new housing community under construction in a different city.

a. The sales representative informs you that there are 56 houses for sale with two floor plans still available. Use x to represent floor plan one and y to represent floor plan two. Write an equation that illustrates the situation

x+y = 56

To write an equation that represents the situation, we need to understand the information given.

We are told that there are 56 houses for sale with two floor plans still available. Let's assume the number of houses built with floor plan one is represented by 'x', and the number of houses built with floor plan two is represented by 'y'.

The equation can be written as:
x + y = 56

This equation represents the total number of houses (x + y) being equal to 56.