Answer :
Sure, let's break down the problem and create an equation for Sakeem's profit.
1. Understand the Costs and Earnings:
- Sakeem pays [tex]$0.43 per square foot for the sod.
- He charges his customers $[/tex]2.00 per square foot when he lays the sod.
2. Calculate the Profit Per Square Foot:
- Profit per square foot is calculated as the difference between what Sakeem charges and what he pays.
- So, the profit per square foot = [tex]$2.00 - $[/tex]0.43 = $1.57.
3. Express the Total Profit in Terms of [tex]\( x \)[/tex]:
- Let [tex]\( y \)[/tex] represent the total profit, and [tex]\( x \)[/tex] represent the number of square feet of sod.
- The total profit [tex]\( y \)[/tex] is the profit per square foot multiplied by the number of square feet.
- Therefore, the equation is:
[tex]\[
y = 1.57 \times x
\][/tex]
This equation reflects the direct variation of profit with respect to the number of square feet of sod laid. The more sod Sakeem lays, the greater his profit.
1. Understand the Costs and Earnings:
- Sakeem pays [tex]$0.43 per square foot for the sod.
- He charges his customers $[/tex]2.00 per square foot when he lays the sod.
2. Calculate the Profit Per Square Foot:
- Profit per square foot is calculated as the difference between what Sakeem charges and what he pays.
- So, the profit per square foot = [tex]$2.00 - $[/tex]0.43 = $1.57.
3. Express the Total Profit in Terms of [tex]\( x \)[/tex]:
- Let [tex]\( y \)[/tex] represent the total profit, and [tex]\( x \)[/tex] represent the number of square feet of sod.
- The total profit [tex]\( y \)[/tex] is the profit per square foot multiplied by the number of square feet.
- Therefore, the equation is:
[tex]\[
y = 1.57 \times x
\][/tex]
This equation reflects the direct variation of profit with respect to the number of square feet of sod laid. The more sod Sakeem lays, the greater his profit.
