Problema Solution
After 5 months, the number of newspaper subscriptions totaled 5730. After 7 months, there were 6022 subscriptions. How many subscriptions will there be after 10 months?
Answer provided by our tutors
Assuming that the number of subscriptions can be modeled with a linear equation, first we will find the linear equation:
y = mx +b, where 'm' is the slope and 'b' is the y-intercept, x is the number of month, y is the number of subscriptions
This means that (5, 5730) and (7, 6022) are points on the line y = mx +b, that is:
5m + b = 5730
7m + b = 6022
........
click here to see the system of equations solved for m and b
........
m = 146
b = 5000
The linear equation is:
y = 146x + 5000
Next we plug for x = 10 to find y:
y = 146*10 + 5000
y = 6,460 subscriptions
There will be 6,460 subscriptions after 10 months.