Question

Polly is comparing the cost of cell phone services. The phone she wants costs $899 at BT&T Cellular, and the unlimited calling plan through their carrier would cost $2 per day. At Revizon Electronics, Polly could purchase the same phone for $799 and also get an unlimited calling plan for $3 per day. After some number of days, the two options would end up having the same total cost. What would the total cost be? How long would that take?

Answer 1

The total cost = $1,099

It would take 100 days

Explanation:

Let

x = number of days

Cost of BT&T Cellular = 899 + 2x

Cost of Revizon Electronics = 799 + 3x

Equate the cost of both cell phone services.

899 + 2x = 799 + 3x

899 - 799 = 3x - 2x

100 = x

x = number of days = 100 days

Cost of BT&T Cellular = 899 + 2x

= 899 + 2(100)

= 899 + 200

= $1,099

Cost of Revizon Electronics = 799 + 3x

= 799 + 3(100)

= 799 + 300

= $1,099