College

Create an equation to show Sakeem's profit when laying sod, where [tex]y[/tex] is the profit and [tex]x[/tex] is the number of square feet of sod.

Recall that profit is the difference between the amount earned and the amount spent.

Labels to use:
- 1.57
- [tex]x[/tex]
- 2.00
- 0.43
- [tex]y^2[/tex]
- [tex]y[/tex]
- [tex]x^2[/tex]

Equation:
\[ y = (2.00 - 0.43) \times x \]
\[ y = 1.57 \times x \]

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.