under his cell phone plan bashir pays a flat cost of $56 per month and $4 per gigabyte . he wants to keep his bill at $71.60 per month . write and solve an equation which can be used to determine for x, the number of gigabytes of data bashir can use while staying within his budget.
56 + 4x = 71.60
Solve for x.
To write an equation to determine the number of gigabytes of data Bashir can use while staying within his budget, let's break down the given information:
1. Bashir pays a flat cost of $56 per month.
2. Bashir pays an additional $4 per gigabyte of data.
3. Bashir wants to keep his bill at $71.60 per month.
Let "x" represent the number of gigabytes of data Bashir can use while staying within his budget.
The equation can be written as follows:
Total Cost = Flat Cost + (Additional Cost per Gigabyte * Number of Gigabytes)
$71.60 = $56 + ($4 * x)
To solve this equation for x, we need to isolate x by moving the terms around:
$71.60 - $56 = $4 * x
$15.60 = $4 * x
To find x, divide both sides of the equation by $4:
$15.60 / $4 = x
x = 3.9
Therefore, Bashir can use up to 3.9 gigabytes of data while staying within his budget of $71.60.