Question

one internet company has a $50 set - up fee and charges $30 per month. another company has no set - up fee and charges $40 per month. in how many months will both cost the same? they will never cost the same. 2 months 10 months 5 months

Explanation:

Step1: Define cost functions

Let $m$ = number of months.
Cost for Company 1: $C_1 = 50 + 30m$
Cost for Company 2: $C_2 = 40m$

Step2: Set costs equal

Set $C_1 = C_2$:
$50 + 30m = 40m$

Step3: Solve for $m$

Subtract $30m$ from both sides:
$50 = 10m$
Divide by 10:
$m = \frac{50}{10} = 5$

Answer:

5 months