Question

Under his cell phone plan, Gabriel pays a flat cost of $52.50 per month and $5 per gigabyte. He wants to keep his bill under $75 per month. Write and solve an inequality which can be used to determine g g g, the number of gigabytes Gabriel can use while staying within his budget.

Answer 1

g < 4.5 gigabytes

Explanation:

No matter what Gabriel has to pay $52.50 a month and the variable comes with the amount of gigabytes he can use. So first we can set up the equation like:

52.50 + 5g < 75

To start to solve this equation you must get g by itself and you start with the component furthest away from the variable. In this case the 52.50.

You start by doing the opposite of the sign, this sign would be positive which would be addition so you subtract the 52.50 on both sides of the equation making the equation:

5g < 22.50

Next 5g would be multiplication so in order to move this, you need to divide it so you would need to do 22.50/5 which would be:

g < 4.5 gigabytes