Answer :
To find Sakeem's profit when laying sod, we can set up an equation based on the information given:
1. Understand the Costs and Earnings:
- Sakeem charges [tex]$2.00 per square foot to lay the sod.
- The supplier charges him $[/tex]0.43 per square foot for the sod.
2. Calculate the Profit per Square Foot:
- To find the profit per square foot, subtract the cost from the amount Sakeem charges:
[tex]\[
\text{Profit per square foot} = 2.00 - 0.43 = 1.57
\][/tex]
3. Express the Profit with an Equation:
- The profit [tex]\( y \)[/tex] varies directly with the number of square feet of sod, [tex]\( x \)[/tex].
- The equation to express the profit Sakeem makes can be written as:
[tex]\[
y = 1.57x
\][/tex]
In this equation, [tex]\( y \)[/tex] represents the total profit, and [tex]\( x \)[/tex] represents the number of square feet of sod laid. So, [tex]\( y = 1.57x \)[/tex] shows that Sakeem's profit depends directly on how many square feet of sod he lays, with a profit of $1.57 per square foot.
1. Understand the Costs and Earnings:
- Sakeem charges [tex]$2.00 per square foot to lay the sod.
- The supplier charges him $[/tex]0.43 per square foot for the sod.
2. Calculate the Profit per Square Foot:
- To find the profit per square foot, subtract the cost from the amount Sakeem charges:
[tex]\[
\text{Profit per square foot} = 2.00 - 0.43 = 1.57
\][/tex]
3. Express the Profit with an Equation:
- The profit [tex]\( y \)[/tex] varies directly with the number of square feet of sod, [tex]\( x \)[/tex].
- The equation to express the profit Sakeem makes can be written as:
[tex]\[
y = 1.57x
\][/tex]
In this equation, [tex]\( y \)[/tex] represents the total profit, and [tex]\( x \)[/tex] represents the number of square feet of sod laid. So, [tex]\( y = 1.57x \)[/tex] shows that Sakeem's profit depends directly on how many square feet of sod he lays, with a profit of $1.57 per square foot.