Question

Phones-R-Us charges $16.95 per month and $0.05 per text message. Awesome Wireless charges $22.95 per

month and $0.02 per text message. During one month, how many text messages can be sent so that
Awesome Wireless cost greater than or equal to Phones R Us?

Answer 1

`S \leq 200`

Explanation:

Given

Phone R-Us= $16.95 + $0.05 per SMS

Awesome Wireless = $22.95 + $0.02 per SMS

Required

Determine the number of SMS such that Awesome Wireless is greater or equal to Phone R-Us

Represent the SMS with S

For Phone R-Us, we have:

`SMS = 16.95 + 0.05S`

For Awesome Wireless, we have:

`SMS = 22.95 + 0.02S`

For Awesome Wireless is greater or equal to Phone R-Us, we have:

`22.95 + 0.02S \geq 16.95 + 0.05S`

Collect Like Terms

`0.02S - 0.05S \geq 16.95 - 22.95`

`-0.03S \geq -6`

Solve for S

`(-0.03S)/(-0.03) \geq (-6)/(-0.03)`

`S \leq 200`

Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 200