Question

Consumer Sense Carlos bought an Internet plan for his new tablet computer. The company offers three options for its monthly service. The Minute Plan Pay 24¢ each minute. Monthly Plan Pay $36 a month and 12¢ each minute. Unlimited Plan Pay $160 per month for unlimited minutes 1. Carlos decides to try out The Minute Plan for a week. He uses the Internet for exactly one hour. How much did he pay for the service? $4-40 2. Carlos thinks he will use about 200 minutes a month. Which of these options is the least expensive for Carlos? Show how you figured it out. 3. Suppose Carlos uses x minutes in a month. Write an equation that links the number of minutes used (x) to the cost for the month (c). The Minute Plan 24 Monthly Plan Unlimited Plan 4. When would the Minute Plan and the Monthly Plan cost Carlos exactly the same amount?​

Answer 1

Explanation:

1.Carlos used the Internet for 60 minutes, which is 60/60 = 1 hour.

The Minute Plan charges 24¢ per minute, so Carlos paid 1 * 24¢ = 24¢ for the service.

2.The Minute Plan charges 24¢ per minute, so Carlos would pay 24¢ * 200 minutes = $4.80 for the month.

The Monthly Plan charges $36 per month plus 12¢ per minute. So, if Carlos uses 200 minutes in a month, he would pay $36 + 12¢ * 200 minutes = $36 + $24 = $60 for the month.

The Unlimited Plan charges $160 per month, which is more than the other two options for 200 minutes.

Therefore, the least expensive option for Carlos is the Monthly Plan, which would cost him $60 per month.

3.The Minute Plan charges 24¢ per minute, so the cost for the month (c) is equal to the number of minutes used (x) multiplied by 24¢. The Monthly Plan charges $36 per month plus 12¢ per minute. So, the cost for the month (c) is equal to $36 plus the number of minutes used (x) multiplied by 12¢.

Here are the equations for each plan:

Minute Plan: c = 0.24x

Monthly Plan: c = 36 + 0.12x

4.The Minute Plan and the Monthly Plan would cost Carlos exactly the same amount when the cost of the Minute Plan is equal to the cost of the Monthly Plan. So, we need to solve the following equation:

0.24x = 36 + 0.12x

Subtracting 0.12x from both sides of the equation, we get:

0.12x = 36

Dividing both sides of the equation by 0.12, we get:

x = 300

Therefore, the Minute Plan and the Monthly Plan would cost Carlos exactly the same amount when he uses 300 minutes in a month.

I hope this helps!