Sure, let's solve the problem step-by-step:
1. Determine Total Costs and Profit Goals:
- Sanita has already spent [tex]\( \$44 \)[/tex] on creating the artwork.
- Sanita wants to make a profit of [tex]\( \$300 \)[/tex].
2. Calculate the Total Amount Sanita Needs to Earn:
- To cover his costs and achieve his profit goal, we need to sum the incurred costs and the desired profit:
[tex]\[
\text{Total amount needed} = \$44 + \$300 = \$344
\][/tex]
3. Number of Pieces Created:
- Sanita has created a total of 10 pieces of artwork.
4. Find the Price Per Piece:
- To find out the price at which he needs to sell each piece to meet his goal, we can set up the equation:
[tex]\[
10a = 344
\][/tex]
where [tex]\( a \)[/tex] represents the price per piece.
5. Logical Representation in Equation Form:
- The correct mathematical representation of the given problem is:
[tex]\[
10a = 44 + 300
\][/tex]
From the given options, the correct equation is:
[tex]\[
10a = 44 + 300
\][/tex]
