To determine the pizza parlor's expected profit when 275 pizzas are sold, we use the given linear regression equation [tex]\( y = 2.009x - 37.131 \)[/tex], where [tex]\( x \)[/tex] represents the number of pizzas sold and [tex]\( y \)[/tex] represents the profit in dollars.
Step-by-step:
1. Substitute [tex]\( x = 275 \)[/tex] into the equation:
[tex]\[
y = 2.009 \times 275 - 37.131
\][/tex]
2. Perform the multiplication:
[tex]\[
2.009 \times 275 = 552.475
\][/tex]
3. Subtract the constant term from the result:
[tex]\[
552.475 - 37.131 = 515.344
\][/tex]
Thus, the expected profit when 275 pizzas are sold is approximately [tex]\(\$515\)[/tex].
Therefore, the correct answer is:
B. \$515
