Problema Solution
A magazine company had a profit of $98,000 per year when it had 32,000 subscribers. When it obtained 35,000 subscribers, it had a profit of $117,500. Assume that the profit P is a linear function of the number of subscribers s. find a function of p
Answer provided by our tutors
the profit p is a linear function of the number of subscribers s means:
p = a*s + b, where a and b are constants
A magazine company had a profit of $98,000 per year when it had 32,000 subscribers:
98,000 = 32,000a + b
When it obtained 35,000 subscribers, it had a profit of $117,500:
117,500 = 35,000a + b
by solving the system of equations:
32000a + b = 98000
35000a + b = 117500
by solving we find:
a = 6.5
b = -110,000
click here to see the step by step solution of the system of equations:
the function is:
p = 6.5s - 110,000