Question

(6) Antonio compares his plan to another friend, Brielle’s . Given that both Antonio and Brielle will only be charged for full minutes, is there an amount of time when their two plans cost the same? Explain. Brielle's plan: Monthly cost = 2(1.50m+12)+m-4 where m is the number of minutes used

Answer 1

To find the amount of time when Antonio and Brielle's plans cost the same, we need to set their monthly costs equal to each other and solve for m, which represents the number of minutes used. Antonio and Brielle's plans cost the same when m = 10 minutes.

Step-by-step explanation:

To find the amount of time when Antonio and Brielle's plans cost the same, we need to set their monthly costs equal to each other and solve for m, which represents the number of minutes used.

Brielle's plan: Monthly cost = 2(1.50m+12)+m-4

Antonio's plan: Monthly cost = 6m

Setting the two costs equal to each other:

2(1.50m+12)+m-4 = 6m

Simplifying the equation:

3m + 24 + m - 4 = 6m

Combining like terms:

4m + 20 = 6m

Subtracting 4m from both sides:

20 = 2m

Dividing both sides by 2:

m = 10

Therefore, Antonio and Brielle's plans cost the same when m = 10 minutes.

Answer 2

We have to compare the plan of calls for both friends

Brielle's plan is 2 ( 1.50 m +12) + m - 4

Antonio's plan is