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Answer :
To determine Sakeem's profit when laying sod, we need to consider both the cost per square foot and the selling price per square foot.
1. Identify the Cost and Selling Price:
- The cost charged by the supplier for sod is [tex]$0.43 per square foot.
- Sakeem charges his customers $[/tex]2.00 per square foot for laying the sod.
2. Calculate the Profit per Square Foot:
- Profit per square foot is calculated by subtracting the cost from the selling price.
- [tex]\( \text{Profit per square foot} = \text{Selling price per square foot} - \text{Cost per square foot} \)[/tex]
- [tex]\( \text{Profit per square foot} = 2.00 - 0.43 = 1.57 \)[/tex]
3. Create the Profit Equation:
- Since the profit Sakeem makes varies directly with the number of square feet of sod he lays, we can express this relationship with an equation.
- Let [tex]\( y \)[/tex] be the total profit and [tex]\( x \)[/tex] be the number of square feet.
- The equation for this direct variation is [tex]\( y = 1.57x \)[/tex].
This equation, [tex]\( y = 1.57x \)[/tex], represents Sakeem's profit where [tex]\( y \)[/tex] is the profit and [tex]\( x \)[/tex] is the number of square feet of sod.
1. Identify the Cost and Selling Price:
- The cost charged by the supplier for sod is [tex]$0.43 per square foot.
- Sakeem charges his customers $[/tex]2.00 per square foot for laying the sod.
2. Calculate the Profit per Square Foot:
- Profit per square foot is calculated by subtracting the cost from the selling price.
- [tex]\( \text{Profit per square foot} = \text{Selling price per square foot} - \text{Cost per square foot} \)[/tex]
- [tex]\( \text{Profit per square foot} = 2.00 - 0.43 = 1.57 \)[/tex]
3. Create the Profit Equation:
- Since the profit Sakeem makes varies directly with the number of square feet of sod he lays, we can express this relationship with an equation.
- Let [tex]\( y \)[/tex] be the total profit and [tex]\( x \)[/tex] be the number of square feet.
- The equation for this direct variation is [tex]\( y = 1.57x \)[/tex].
This equation, [tex]\( y = 1.57x \)[/tex], represents Sakeem's profit where [tex]\( y \)[/tex] is the profit and [tex]\( x \)[/tex] is the number of square feet of sod.
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