Question

Your parents are going to help you buy a new iPhone; you give them $100 for it. However, you need to pay the monthly service fee. Choose a plan below that meets your needs (Magenta Max has unlimited data with 5G, Magenta is unlimited data with 4G, and Essentials has a data plan limited to 3 gigabytes of data) and write an equation to represent your total cost, including the phone purchase. Then calculate how much it will cost over two years.

Your parents are going to buy you a new iPhone but charge you $100 for it. But you need to pay for the monthly service fee. Choose a plan below and write an equation to represent your total cost including the phone purchase. Then calculate how much it will cost over two years.

Answer 1

To calculate the total cost, you choose a plan, write an equation for the total cost (including the upfront iPhone cost and the monthly service fee times 24 months), and solve the equation accordingly. For the Magenta Max plan at $90 per month, the total cost over two years would be $2260.

Step-by-step explanation:

To calculate the total cost of owning a new iPhone, including the phone purchase from your parents for $100 and a cell phone service plan over two years, we first need to select a service plan. There are three plans to choose from: Magenta Max (unlimited data with 5G), Magenta (unlimited data with 4G), and Essentials (limited to 3 gigabytes of 4G data).

Let's assume you choose the Magenta Max plan and it costs $90 per month. To represent the total cost with an equation, let T be the total cost over two years, and M the monthly service fee:

T = Initial iPhone cost + (Monthly service fee × Number of months)

T = $100 + ($90 × 24)

T = $100 + $2160

T = $2260

Thus, the total cost over two years for the Magenta Max plan, including the initial iPhone cost, is $2260.