Williamston Daily is a new daily newspaper. When they first started printing three years ago they had 5600 home delivery subscribers. The number of subscribers increases by 71 every month. Write a linear model that represents the number of subscribers, B, for the number of months, n, the paper has been printed.
B = 5600 + 71n
To write a linear model that represents the number of subscribers for the number of months the paper has been printed, we need to determine the initial value (represented by the y-intercept) and the rate of change (represented by the slope).
Given that Williamston Daily started with 5600 home delivery subscribers and the number of subscribers increases by 71 every month, we can determine the values.
The initial value (y-intercept) is 5600, which represents the number of subscribers at month zero (when they first started printing).
The rate of change (slope) is 71, meaning that for every additional month since they started printing, the number of subscribers increases by 71.
Therefore, the linear model that represents the number of subscribers, B, for the number of months, n, the paper has been printed is:
B = 71n + 5600