Under his cell phone plan, Samuel pays a flat cost of $41.50 per month and $5 per gigabyte. He wants to keep his bill at $52.50 per month. Write and solve an equation which can be used to determine x
x, the number of gigabytes of data Samuel can use while staying within his budget

2.2 gigabytes

Step-by-step explanation:

Let us represent

x = the number of gigabytes of data Samuel can use while staying within his budget

Therefore, our equation is:

$41.50 + $5 × x = $52.50

41.50 + 5x = 52.50

Subtract 41.50 from both sides

41.50 - 41.50 + 5x = 52.50 - 41.50

5x = 11

x = 11/5

x = 2.2 gigabytes.

The number of gigabytes of data he need to keep his monthly cost at $52.50 is 2.2 gigabytes