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Answer :
Sure! Let's work through the problem step by step to find the equation that represents Sakeem's profit when laying sod.
1. Identify the Costs and Earnings:
- 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. Calculate the Profit per Square Foot:
- The profit per square foot can be calculated by subtracting the cost per square foot from the amount Sakeem charges his customers.
- Profit per square foot = Amount charged per square foot - Cost per square foot
- Profit per square foot = [tex]$2.00 - $[/tex]0.43
- Profit per square foot = [tex]$1.57
3. Define the Variables:
- Let \( y \) be the total profit in dollars.
- Let \( x \) be the number of square feet of sod laid.
4. Formulate the Equation:
- Since the profit Sakeem makes varies directly with the number of square feet of sod laid, we can express this relationship as an equation.
- Total Profit \( y \) = Profit per square foot \(\times\) Number of square feet
- Therefore, the equation is \( y = 1.57 \times x \).
So, the final equation to show Sakeem's profit when laying sod is:
\[ y = 1.57x \]
This equation tells us that for every square foot of sod Sakeem lays, he earns a profit of $[/tex]1.57.
1. Identify the Costs and Earnings:
- 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. Calculate the Profit per Square Foot:
- The profit per square foot can be calculated by subtracting the cost per square foot from the amount Sakeem charges his customers.
- Profit per square foot = Amount charged per square foot - Cost per square foot
- Profit per square foot = [tex]$2.00 - $[/tex]0.43
- Profit per square foot = [tex]$1.57
3. Define the Variables:
- Let \( y \) be the total profit in dollars.
- Let \( x \) be the number of square feet of sod laid.
4. Formulate the Equation:
- Since the profit Sakeem makes varies directly with the number of square feet of sod laid, we can express this relationship as an equation.
- Total Profit \( y \) = Profit per square foot \(\times\) Number of square feet
- Therefore, the equation is \( y = 1.57 \times x \).
So, the final equation to show Sakeem's profit when laying sod is:
\[ y = 1.57x \]
This equation tells us that for every square foot of sod Sakeem lays, he earns a profit of $[/tex]1.57.
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