You are choosing between two different internet providers. Company A charges $75 for installation and $42 per month. Company B charges $30 per month for installation and $45 per month. After how many months will the total costs for Internet service through the two companies be the same amount?
75+42x = 30+45x
Thank you!
To find out after how many months the total costs for Internet service through the two companies will be the same, we need to set up an equation.
Let's assume the number of months is represented by "x".
For Company A, the total cost (C1) after x months can be calculated as follows:
C1 = 75 (installation cost) + 42x (monthly cost)
For Company B, the total cost (C2) after x months can be calculated as follows:
C2 = 30 (installation cost) + 45x (monthly cost)
Now, we want to find the value of x when C1 is equal to C2. Mathematically, this can be represented as:
C1 = C2
Substituting the equations for C1 and C2, we have:
75 + 42x = 30 + 45x
Now, let's solve this equation to find the value of x.
First, we can simplify the equation by combining like terms:
45x - 42x = 75 - 30
This simplifies to:
3x = 45
Next, let's isolate x by dividing both sides of the equation by 3:
x = 45 / 3
Simplifying further, we have:
x = 15
Therefore, after 15 months, the total costs for Internet service through the two companies will be the same amount.