To determine the expected profit when 275 pizzas are sold, we use the given linear regression equation:
[tex]\[ y = 3.009 x - 77.131 \][/tex]
Here:
- [tex]\( x \)[/tex] represents the number of pizzas sold.
- [tex]\( y \)[/tex] represents the pizza parlor's profits in dollars.
Given that 275 pizzas are sold, we substitute [tex]\( x = 275 \)[/tex] into the equation to find [tex]\( y \)[/tex]:
[tex]\[ y = 3.009 \times 275 - 77.131 \][/tex]
By performing the calculation step-by-step, we can find the profit:
1. Multiply 3.009 by 275:
[tex]\[ 3.009 \times 275 = 827.475 \][/tex]
2. Subtract 77.131 from the result:
[tex]\[ 827.475 - 77.131 = 750.344 \][/tex]
Therefore, the expected profit when 275 pizzas are sold is approximately \[tex]$750.
So, the correct answer is:
D. \$[/tex]750
