Answer:
The minimum number is 9 GB to make the unlimited cheaper
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- A tablet data provider offers different plans for data usage
- The plan Raul chose has a monthly fee of $29.99 per month for
5 GB of data with an additional cost of $10 for each gigabyte
over 5
* <u><em>Assume that he will use </em></u><u><em>n gigabyte per month</em></u>
∵ The monthly fee is $29.99 for 5 GB
∵ The cost per GB after the first 5 GB is $10
∵ The number of GB whose cost is $10 is (n - 5)
∴ His monthly fees = 29.99 + 10 (n - 5) ⇒ current plan
- Raul learns that his data provider is offering an unlimited data
plan for $59.99 per month
∵ The fees of the unlimited is $59.99 per month
∵ We need the unlimited cheaper than current plane
- Let the current plan greater than the unlimited plan
∴ 29.99 + 10 (n - 5) > 59.99
- Subtract both sides by 29.99
∴ 10 (n - 5) > 30
- Divide both sides by 30
∴ n - 5 > 3
- Add both sides by 5
∴ n > 8
∴ The minimum number is 9 GB to make the unlimited cheaper
