Question

You are buying a new phone and deciding between 2 phone plans. Plan A charges you a one-time fee of $630 for your phone, and then an additional $40 per month for the service. Plan B will charge you a one-time fee of $350 for your phone, then an additional $60 per month for the service. After how many months will the phone plans be equal in cost

Answer 1

The phone plans will be equal in cost after 14 months.

Step-by-step explanation:

To determine when the phone plans will be equal in cost, we need to set up an equation. Let the number of months be represented by 'x'. For Plan A, the total cost would be 630 + 40x (one-time fee plus monthly service). For Plan B, the total cost would be 350 + 60x. We can set these two expressions equal to each other and solve for x:

630 + 40x = 350 + 60x

Subtracting 40x from both sides gives us:

630 = 350 + 20x

Subtracting 350 from both sides gives us:

280 = 20x

Dividing both sides by 20 gives us:

x = 14

Therefore, the phone plans will be equal in cost after 14 months.

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