Under her cell phone plan, Ella pays a flat cost of $49 per month and $5 per gigabyte. She wants to keep her bill under $60 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Ella can use while staying within her budget.

Answer 1

Let gg be the number of gigabytes Ella can use while staying within her budget.

The total cost, C, can be found by adding the flat cost of $49 per month to the cost of the gigabytes used: C = $49 + $5*gg.

To keep her bill under $60 per month, the total cost should be less than or equal to $60: C ≤ $60.

The inequality for Ella's situation can be written as:

$49 + $5*gg ≤ $60.

Simplifying the inequality:

$5*gg ≤ $60 - $49,

$5*gg ≤ $11.

Dividing both sides of the inequality by $5:

gg ≤ $11/$5,

gg ≤ 2.2.

Therefore, Ella can use a maximum of 2.2 gigabytes to stay within her budget. However, since we cannot have a fraction of a gigabyte, Ella can effectively use a maximum of 2 gigabytes to stay within her budget.