Problema Solution
A cell phone company offers you two texting plans. You can pay $65 a month for unlimited texting, or you pay $15 a month of 500 texts and pay $0.25 per text message for going over 500. How many text messages must you send for the first pal. To cost less than the second?
Answer provided by our tutors
First Plan cost:
$65
Second Plan cost:
15 if the number of messages is not more then 500
15 + (x-500)*0.25 if the number of messages x > 500
we need to find for what x First Plan < Second Plan
for x < 500 we have 65 > 15 that is First Plan > Second Plan
for x < 500 we need to find x so that
65 < 15 + (x-500)*0.25
by solving the inequality we find
x > 700
click here to see the step by step solution of the inequality
For more then 700 messages the First Plan costs less that the Second Plan.