Question

The sales of homes in a new development have been increasing. In January, 5 homes were sold, in February, 12 homes were sold. In March, 19 homes were sold. This pattern continued for the remainder of the year.

What is the explicit rule that can be used to find the number of homes sold in the nth month of the year?

Answer 1

The explicit rule for the number of homes sold in the nth month is n = 5 + 7*(m-1), where n represents the number of homes sold in the nth month, and m represents the month number starting from 1.

Step-by-step explanation:

To find the explicit rule for the number of homes sold in the nth month, we can observe the pattern in the given data. From January to March, the number of homes sold increased by 7 each month. This pattern continues for the remainder of the year. Therefore, the explicit rule can be written as:

n = 5 + 7*(m-1)

where n represents the number of homes sold in the nth month, and m represents the month number starting from 1.