Question

question: under her cell phone plan, shaniece pays a flat cost of $48 per month and $3 per gigabyte. she wants to keep her bill at $61.20 per month. which equation could be used to determine x, the number of gigabytes of data shaniece can use while staying within her budget? answer: 3(x + 16) = 61.2, 61.2 = 48x + 3, 3x + 48 = 61.2, 48x = 61.2 - 3

Explanation:

Step1: Set up the equation

Let $x$ be the number of gigabytes of data. The flat - cost is $48$ and the cost per gigabyte is $3$. The total bill should be $61.20$. So the equation is $3x + 48=61.2$.

Step2: Solve for $x$

Subtract $48$ from both sides of the equation:
$3x=61.2 - 48$
$3x = 13.2$
Then divide both sides by $3$:
$x=\frac{13.2}{3}=4.4$

Answer:

The equation $3x + 48 = 61.2$ can be used to determine the number of gigabytes $x$ of data Shaniece can use while staying within her budget.