Under her cell phone plan, Shaquana pays a flat cost of \( \$ 41.50 \) per month and \( \$ 3 \) per gigabyte. She wa keep her bill at \( \$ 48.40 \) per month. Write and solve an equation which can be used to determine \( x \), the number of gigabytes of data Shaquana can use while staying within her budget. Answer Attempt 1 out of 2 Equation: Answer: \( x=\square \)
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To find out how many gigabytes of data Shaquana can use without exceeding her budget of \( \$ 48.40 \), we can start by writing the cost equation. The flat fee is \( \$ 41.50 \) and the variable cost per gigabyte is \( \$ 3 \). Therefore, the equation can be set up as: \[ 41.50 + 3x = 48.40 \] Now, we can solve for \( x \): 1. Subtract \( 41.50 \) from both sides: \[ 3x = 48.40 - 41.50 \] \[ 3x = 6.90 \] 2. Divide both sides by \( 3 \): \[ x = \frac{6.90}{3} \] \[ x = 2.30 \] Since Shaquana cannot purchase a fraction of a gigabyte, we round down to the nearest whole number, giving us: \[ x = 2 \] So, the answer is \( x = 2 \) gigabytes. Now she can enjoy her data without worrying about going over budget!
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