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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?

User Zirael
by
7.3k points

1 Answer

7 votes

Answer:


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

User Zhangv
by
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