The problem asks us to determine how many vases Jamie sold if they made $440, using an equation from part b or otherwise. We assume there is an equation from a previous part of this problem that relates the number of vases sold to the amount of money made. However, we do not have access to the equation from part b. We can infer that the revenue is a linear function of the number of vases sold. Since we don't have previous information, let's assume that the revenue $R$ is proportional to the number of vases $v$ sold and can be expressed as $R = pv$, where $p$ is the price per vase. We need to find $v$ when $R = 440$. We cannot definitively answer the question without more information. We must make an assumption about the price of a vase. Let's assume each vase sells for $5.

AlgebraLinear EquationsWord ProblemSolving for a VariableRevenue
2025/3/26

1. Problem Description

The problem asks us to determine how many vases Jamie sold if they made 440,usinganequationfrompartborotherwise.Weassumethereisanequationfromapreviouspartofthisproblemthatrelatesthenumberofvasessoldtotheamountofmoneymade.However,wedonothaveaccesstotheequationfrompartb.Wecaninferthattherevenueisalinearfunctionofthenumberofvasessold.Sincewedonthavepreviousinformation,letsassumethattherevenue440, using an equation from part b or otherwise. We assume there is an equation from a previous part of this problem that relates the number of vases sold to the amount of money made. However, we do not have access to the equation from part b. We can infer that the revenue is a linear function of the number of vases sold. Since we don't have previous information, let's assume that the revenue Risproportionaltothenumberofvases is proportional to the number of vases vsoldandcanbeexpressedas sold and can be expressed as R = pv,where, where pisthepricepervase.Weneedtofind is the price per vase. We need to find vwhen when R = 440.Wecannotdefinitivelyanswerthequestionwithoutmoreinformation.Wemustmakeanassumptionaboutthepriceofavase.Letsassumeeachvasesellsfor. We cannot definitively answer the question without more information. We must make an assumption about the price of a vase. Let's assume each vase sells for
5.

2. Solution Steps

Step 1: Define the variables.
Let vv be the number of vases sold.
Let RR be the total revenue.
Let pp be the price per vase.
Step 2: Set up the equation.
We have R=pvR = pv.
We are given R=440R = 440. We need to determine pp to find vv.
Since we don't have enough information, we need to assume a price per vase. Let's assume that each vase sells for 5,so5, so p = 5$.
Then, 440=5v440 = 5v.
Step 3: Solve for vv.
Divide both sides of the equation by 5:
v=4405=88v = \frac{440}{5} = 88.
Therefore, Jamie sold 88 vases if they made 440,assumingthepricepervaseis440, assuming the price per vase is

5. If the price is unknown we can only express the solution in terms of p such that $v = \frac{440}{p}$.

3. Final Answer

Jamie sold 88 vases if the price per vase is $

5. Without information about the price, the answer can be expressed as $\frac{440}{p}$ vases. If we are not allowed to assume the price per vase, we can't solve the problem with the given information.

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