Question

There are 50 homes in a new neighborhood. Every month, 3 new homes are built until the neighborhood is complete with a total of 77 homes. Write an equation to represent the situation.

a) 50 + 3x = 77
b) 50x + 3 = 77
c) 3x + 50 = 77
d) 77 - 50 = 3x

Answer 1

The equation that represents the situation is a) 50 + 3x = 77.

Step-by-step explanation:

The correct equation to represent the situation is a) 50 + 3x = 77. This equation represents the initial number of homes (50) plus 3 times the number of months (x) equals the total number of homes in the neighborhood (77).

Each month, 3 new homes are built, so we need to multiply the number of months by 3 and add it to the initial number of homes to reach the total number.