Problem

\begin{tabular}{|c|c|} \hline Cones Sold & Profit \\ \hline 0 & $-\$ 391$ \\ \hline 100 & $-\$ 220$ \\ \hline 200 & $-\$ 49$ \\ \hline 300 & $\$ 122$ \\ \hline 400 & $\$ 293$ \\ \hline 500 & $\$ 464$ \\ \hline \end{tabular}

Solution

Step 1 :The table shows a linear relationship between the number of cones sold and the profit.

Step 2 :We can calculate the slope and y-intercept of this linear relationship using the formula for slope (change in y over change in x) and the formula for y-intercept (y - mx).

Step 3 :The slope is calculated to be 1.71.

Step 4 :The y-intercept is calculated to be -391.0.

Step 5 :This means that for every additional cone sold, the profit increases by $1.71, and when no cones are sold, the profit is -$391.0.

Step 6 :The linear relationship between the number of cones sold and the profit can be represented by the equation \(\boxed{y = 1.71x - 391}\).

From Solvely APP
Source: https://solvelyapp.com/problems/19486/

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