To determine the expected profits for the pizza parlor when they sell 275 pizzas, we can use the given linear regression equation:
[tex]\[ y = 2.009 x - 37.131 \][/tex]
Here, [tex]\( y \)[/tex] represents the profits in dollars and [tex]\( x \)[/tex] represents the number of pizzas sold. We need to calculate [tex]\( y \)[/tex] when [tex]\( x = 275 \)[/tex].
Substitute [tex]\( x = 275 \)[/tex] into the equation:
[tex]\[ y = 2.009(275) - 37.131 \][/tex]
Now, calculate step by step:
1. Multiply [tex]\( 2.009 \)[/tex] by [tex]\( 275 \)[/tex]:
[tex]\[ 2.009 \times 275 = 552.475 \][/tex]
2. Subtract [tex]\( 37.131 \)[/tex] from [tex]\( 552.475 \)[/tex]:
[tex]\[ 552.475 - 37.131 = 515.344 \][/tex]
Therefore, the expected profit when selling 275 pizzas is \[tex]$515.
Hence, the correct answer is:
D. \$[/tex]515
