Company A charges $25.00 for up to 100 minutes, plus $0.50 for each extra minute. Company B charges $50.00 for an unlimited number for minutes. What are the equations for each company?
Let x = minutes
Company A:
f(x) = 25 , for 0 < x ≤ 100
f(x) = 25 + 0.50(x-100) , for x > 100
Company B:
f(x) = 50 , for any value of x
To find the equations for each company, we need to express the cost as a function of the number of minutes used.
For Company A:
Let's denote the total minutes used as 'm'.
- For the first 100 minutes, the cost is a flat rate of $25.00.
- After 100 minutes, the cost increases by $0.50 for each additional minute.
So, we can write the equation for Company A's cost as:
Cost_A(m) = $25.00 + $0.50 * (m - 100)
where m > 100
For Company B:
Since Company B offers an unlimited number of minutes for a fixed price of $50.00, the cost remains the same, regardless of the number of minutes used. Therefore, the equation for Company B's cost is simply:
Cost_B(m) = $50.00