Respuesta :
Explanations:
Let the number of sandwichs sold be "x"
If you charge $5.15 per sandwich then the total sales of the sandwich will be 5.15x
Cost price = $275
The Linear Model that determines your profit or loss based on the number of sandwiches will be expressed as:
[tex]\text{Profit}=\text{Selling price - Cost price}[/tex]Substitute the given parameters;
[tex]\begin{gathered} \text{Profit/Loss}=5.15x\pm275 \\ p(x)=5.15x\pm275 \end{gathered}[/tex]If 75 sandwiches were sold, the amount of money made will be expressed as:
[tex]\begin{gathered} p(75)=5.15(75)-275 \\ p(75)=386.25-275 \\ p(75)=\$111.25 \end{gathered}[/tex]Hence the amount of money made if you sell 75 sandwiches is $111.25
To make $100 profit, the amount of sandwiches must you sell is given as:
[tex]\begin{gathered} 100=5.15x-275 \\ 5.15x=100+275 \\ 5.15x=375 \\ x=\frac{375}{5.15} \\ x\approx72\text{sandwiches} \end{gathered}[/tex]Hence 72 sandwiches must be sold to make a profit of $100
