Question

You are at Market Place Mall searching for a new cell phone. You have identified two plans that will work for you. The first plan is through Vextel Communications. The second plan is though Perizon Wireless. Vextel charges a monthly fee of $20 for text messaging, call waiting, and caller ID. Vextel also charges you 6 cents per minute to use the phone. Perizon charges a monthly fee of $10 for text messaging, call waiting, and caller ID. Perizon Wireless charges you 8 cents per minute to use the phone. How many minutes per month do you need to use for the Vextel plan to be the better choice

Answer 1

5minute

Explanation:

Vextel Communications

monthly fee= $20

charges per minute=$6

let the number of minutes be x

and the total charges for x minutes be y

The total charges is expressed by the linear function below

y=6x+20-----------1

Step two:

Perizon

monthly fee= $10

charges per minute=$8

let the number of minutes be x

and the total charges for x minutes be y

The total charges is expressed by the linear function below

y=8x+10-----------2

Step three:

Required is the number of minutes x

equating 1 and 2 we have

6x+20=8x+10

collect like terms

6x-8x=10-20

-2x=-10

divide boths sides by -2

x=-10/-2

x=5 mintues

For Vextel plan to be the better choice it must be use for 5minute