To determine the maximum number of gigabytes \( x \) that Mariana can use while keeping her bill under $80, we can set up the equation based on her cell phone plan.
Mariana's monthly cost can be expressed as: \[ 47.50 + 3x \] where \( 3x \) represents the variable cost of data at $3 per gigabyte.
To ensure her monthly cost is under $80, we set up the inequality: \[ 47.50 + 3x < 80 \]
This inequality shows that the total cost of $47.50 plus $3 for each gigabyte used must be less than $80.
Thus, the correct choice among the provided options is: \[ 80 < 47.5 + 3x \]
This is not in the list, but it seems you want to express it in the correct format. The equivalent in the form of the inequality you can use from your options is: \[ 80 > 47.5 + 3x \] So, the correct choice is: \[ 80 > 47.5 + 3x \]