Answer:
[tex]S \leq 200[/tex]
Step-by-step 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:
[tex]SMS = 16.95 + 0.05S[/tex]
For Awesome Wireless, we have:
[tex]SMS = 22.95 + 0.02S[/tex]
For Awesome Wireless is greater or equal to Phone R-Us, we have:
[tex]22.95 + 0.02S \geq 16.95 + 0.05S[/tex]
Collect Like Terms
[tex]0.02S - 0.05S \geq 16.95 - 22.95[/tex]
[tex]-0.03S \geq -6[/tex]
Solve for S
[tex]\frac{-0.03S}{-0.03} \geq \frac{-6}{-0.03}[/tex]
[tex]S \leq 200[/tex]
Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 200
