Answer :
To create an equation for Sakeem's profit, let's start by understanding the components:
1. Revenue from customers: Sakeem charges [tex]$\$[/tex]2.00[tex]$ per square foot to lay the sod. So, for \( x \) square feet, the revenue is \( 2.00 \times x \).
2. Cost from supplier: The cost of the sod is $[/tex]\[tex]$0.43$[/tex] per square foot. So, for [tex]\( x \)[/tex] square feet, the cost is [tex]\( 0.43 \times x \)[/tex].
3. Profit calculation: Profit is the difference between the revenue earned and the cost spent. Therefore, the profit [tex]\( y \)[/tex] can be calculated as follows:
[tex]\[
y = (2.00 \times x) - (0.43 \times x)
\][/tex]
Simplifying the expression:
[tex]\[
y = 2.00x - 0.43x
\][/tex]
Combining like terms:
[tex]\[
y = (2.00 - 0.43)x
\][/tex]
[tex]\[
y = 1.57x
\][/tex]
So, the equation that shows Sakeem's profit [tex]\( y \)[/tex] when laying sod for [tex]\( x \)[/tex] square feet is:
[tex]\[
y = 1.57x
\][/tex]
This equation tells us that Sakeem makes a profit of \$1.57 per square foot of sod laid.
1. Revenue from customers: Sakeem charges [tex]$\$[/tex]2.00[tex]$ per square foot to lay the sod. So, for \( x \) square feet, the revenue is \( 2.00 \times x \).
2. Cost from supplier: The cost of the sod is $[/tex]\[tex]$0.43$[/tex] per square foot. So, for [tex]\( x \)[/tex] square feet, the cost is [tex]\( 0.43 \times x \)[/tex].
3. Profit calculation: Profit is the difference between the revenue earned and the cost spent. Therefore, the profit [tex]\( y \)[/tex] can be calculated as follows:
[tex]\[
y = (2.00 \times x) - (0.43 \times x)
\][/tex]
Simplifying the expression:
[tex]\[
y = 2.00x - 0.43x
\][/tex]
Combining like terms:
[tex]\[
y = (2.00 - 0.43)x
\][/tex]
[tex]\[
y = 1.57x
\][/tex]
So, the equation that shows Sakeem's profit [tex]\( y \)[/tex] when laying sod for [tex]\( x \)[/tex] square feet is:
[tex]\[
y = 1.57x
\][/tex]
This equation tells us that Sakeem makes a profit of \$1.57 per square foot of sod laid.
