To determine how many rings Heidi needs to sell to earn \[tex]$605, we need to set up an equation based on the information given.
Heidi earns \$[/tex]55 in commission for each ring she sells. Let [tex]\( w \)[/tex] represent the number of rings Heidi needs to sell. The total earnings from selling [tex]\( w \)[/tex] rings at \[tex]$55 per ring can be expressed as:
\[ 55 \times w \]
Since we want her total earnings to be \$[/tex]605, we set up the equation:
[tex]\[ 55 \times w = 605 \][/tex]
To solve for [tex]\( w \)[/tex], we can rearrange the equation:
[tex]\[ w = \frac{605}{55} \][/tex]
So, multiplying the number of rings sold by the commission per ring should equal her total earnings. Thus, the correct equation is:
[tex]\[ \boxed{55 \times w = 605} \][/tex]
Therefore, the best answer to the question is:
[tex]\[ D. \$ 55 \times w=\$ 605 \][/tex]
