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.

Raul learns that his data provider is offering an unlimited data plan for $59.99 per month. Find the minimum number of gigabytes Raul could use per month to make the unlimited plan cheaper than his current plan. Explain your solution

The minimum number is 9 GB to make the unlimited cheaper

Step-by-step explanation:

* Lets explain how to solve the problem

- 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

* Assume that he will use n gigabyte per month

∵ 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