Question

william tracks the number of sweaters he sells and the profit he makes from them. if the pattern continues, how many sweaters must william sell to profit $350?

Explanation:

Step1: Determine the pattern

Looking at the graph, when the profit (\(y\)) is \(50\), the number of sweaters sold (\(x\)) is \(1\); when \(y = 100\), \(x=2\); when \(y = 150\), \(x = 3\). We can observe that the relationship between \(x\) (number of sweaters sold) and \(y\) (profit) is \(y = 50x\).

Step2: Solve for \(x\) when \(y = 350\)

Substitute \(y = 350\) into the equation \(y=50x\). We get \(350 = 50x\). Then, solve for \(x\) using the formula \(x=\frac{y}{50}\). So \(x=\frac{350}{50}=7\).

Answer:

\(7\)