College

Create an equation to show Sakeem's profit when laying sod, where \( y \) is the profit and \( x \) is the number of square feet of sod. Recall that profit is the difference between the amount earned and the amount spent.



Sakeem charges his customers \$2.00 per square foot to lay the sod, and his supplier charges \$0.43 per square foot.



Profit per square foot: \( 2.00 - 0.43 = 1.57 \)



Equation: \[ y = 1.57x \]



Drag each label to the correct location in the equation:

\[

\begin{array}{lllllll}

x^2 & 0.43 & x & y & 1.57 & y^2 & 2.00

\end{array}

\]

Answer :

To determine Sakeem's profit when laying sod, follow these steps:

1. Sakeem's supplier charges \$0.43 per square foot, while Sakeem charges his customers \$2.00 per square foot.

2. The profit per square foot is the difference between the amount he charges and the cost he pays. Therefore, the profit per square foot is calculated as:

$$ \text{Profit per square foot} = 2.00 - 0.43 = 1.57. $$

3. Since the total profit varies directly as the number of square feet ($x$) of sod laid, we can express the total profit ($y$) as the product of the number of square feet and the profit per square foot. This gives the equation:

$$ y = 1.57x. $$

Thus, the final equation representing Sakeem's profit is:

$$ y = 1.57x. $$