High School

Sakeem is a landscape architect. When he creates a lawn, his supplier charges [tex]$\$[/tex] 1.57[tex]$ per square foot for sod. Sakeem charges his customers $[/tex]\[tex]$ 2.00$[/tex] per square foot to lay the sod. The profit Sakeem makes when creating a lawn varies directly as the number of square feet of sod he lays.

Create an equation to show Sakeem's profit when laying sod, where [tex]$y$[/tex] is the profit and [tex]$x$[/tex] is the number of square feet of sod. Recall that profit is the difference between the amount earned and the amount spent.

Possible equation components: [tex]$\begin{array}{lllllll} y^2 & 2.00 & 1.57 & x^2 & y & x & 0.43 \end{array}$[/tex]

Answer :

To solve the problem, we need to determine the profit that Sakeem makes, which is the difference between what he charges and what he spends per square foot.

1. Understand the charges and costs:
- Sakeem charges his customers [tex]$2.00 per square foot to lay the sod.
- The cost to Sakeem for the sod is $[/tex]0.43 per square foot.

2. Determine the profit per square foot:
- Profit per square foot is calculated by subtracting the cost from the charge.
- So, the profit per square foot would be [tex]\(2.00 - 0.43 = 1.57\)[/tex].

3. Create the equation for profit:
- The profit [tex]\( y \)[/tex] varies directly with the number of square feet [tex]\( x \)[/tex].
- Therefore, the equation for the profit is [tex]\( y = 1.57 \times x \)[/tex].

Thus, for any number of square feet [tex]\( x \)[/tex], Sakeem's profit can be calculated using the equation [tex]\( y = 1.57x \)[/tex].