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Answer :
To find the equation for Sakeem's profit when laying sod, let's break down the problem step by step:
1. Understand the Scenario:
- Sakeem's supplier charges [tex]$0.43 per square foot for sod.
- Sakeem charges his customers $[/tex]2.00 per square foot to lay the sod.
2. Define the Terms:
- Profit is defined as the difference between the amount earned and the amount spent.
- Let [tex]\( y \)[/tex] be the profit.
- Let [tex]\( x \)[/tex] be the number of square feet of sod.
3. Calculate the Profit per Square Foot:
- The amount Sakeem earns per square foot is [tex]$2.00.
- The amount Sakeem spends per square foot is $[/tex]0.43.
- The profit per square foot is calculated as:
[tex]\[
\text{Profit per square foot} = 2.00 - 0.43 = 1.57
\][/tex]
4. Create the Equation:
- Since profit varies directly with the number of square feet ([tex]\( x \)[/tex]), you can express the total profit, [tex]\( y \)[/tex], as:
[tex]\[
y = 1.57 \times x
\][/tex]
This equation [tex]\( y = 1.57x \)[/tex] represents Sakeem's total profit when laying sod, where [tex]\( y \)[/tex] is the profit and [tex]\( x \)[/tex] is the number of square feet of sod laid. Each square foot of sod laid contributes $1.57 to the profit.
1. Understand the Scenario:
- Sakeem's supplier charges [tex]$0.43 per square foot for sod.
- Sakeem charges his customers $[/tex]2.00 per square foot to lay the sod.
2. Define the Terms:
- Profit is defined as the difference between the amount earned and the amount spent.
- Let [tex]\( y \)[/tex] be the profit.
- Let [tex]\( x \)[/tex] be the number of square feet of sod.
3. Calculate the Profit per Square Foot:
- The amount Sakeem earns per square foot is [tex]$2.00.
- The amount Sakeem spends per square foot is $[/tex]0.43.
- The profit per square foot is calculated as:
[tex]\[
\text{Profit per square foot} = 2.00 - 0.43 = 1.57
\][/tex]
4. Create the Equation:
- Since profit varies directly with the number of square feet ([tex]\( x \)[/tex]), you can express the total profit, [tex]\( y \)[/tex], as:
[tex]\[
y = 1.57 \times x
\][/tex]
This equation [tex]\( y = 1.57x \)[/tex] represents Sakeem's total profit when laying sod, where [tex]\( y \)[/tex] is the profit and [tex]\( x \)[/tex] is the number of square feet of sod laid. Each square foot of sod laid contributes $1.57 to the profit.
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