Under his cell phone plan, Josiah pays a flat cost of $37 per month and $3 per gigabyte. He wants to keep his bill at $43.60 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Josiah can use while staying within his budget.

Respuesta :

The number of gigabytes of data Josiah can use while staying within his budget is 2.2 gigabytes.

Flat costs and Variable cost

The total amount of money that can be spent on the cell phone plan is the sum of the flat cost and the variable cost.

Total cost = flat cost + variable cost

Determination of the equation required to solve for the gigabytes needed

The flat cost is the cost that remains constant each month. The variable cost is the cost that increases by gigabyte used.

$43.60 = $37 + $3x

The gigabytes needed

In order to determine the value of x, combine similar terms together

$43.60 - $37 = $3x

6.6 = $3x

Divide both sides by 3

6.6/3 = x

x = 2.2 gigabytes

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