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Question
40 which answer choice shows an equation that will solve the word problem below? a cell phone company charges a flat rate of $3.99 per month, with an additional charge of $0.05 per minute. how many minutes did casey talk on her cell phone if her monthly bill was $38.44? you can drag 5 coins. 0.05 + 3.99m = 38.44 0.05m - 3.99 = 38.44 0.05m + 3.99 = 38.44 0.05m = 38.44
Step1: Analyze the cost components
The flat - rate is a fixed cost of \(3.99\) dollars per month. The variable cost is \(0.05\) dollars per minute. Let \(m\) be the number of minutes. The total cost \(C\) is the sum of the fixed cost and the variable cost. The formula for the total cost is \(C=\text{fixed cost}+\text{variable cost}\). The variable cost is \(0.05m\) (since it's \(0.05\) per minute) and the fixed cost is \(3.99\).
Step2: Set up the equation
We know that the total cost \(C = 38.44\). Substituting the values into the cost formula \(C=0.05m + 3.99\), we get the equation \(0.05m+3.99 = 38.44\).
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\(0.05m + 3.99=38.44\) (the third option in the given choices)