According to the U. S. Bureau of labor Statistics there were 100,600 chefs/head cooks employed in the United States in 2010 and 320,800 full service managers. Those numbers were projected to decrease to 98,100 and 318,000 by 2020. Which job was facing the largest percentage decrease? By how much? Round your answer to two decimal places, if necessary.

[tex]Percentage=\frac{number\text{ }of\text{ }chefs\text{ }in\text{ }2010-number\text{ }of\text{ }chefs\text{ }in\text{ }2020}{number\text{ }of\text{ }chefs\text{ }in\text{ }2010}\times100[/tex]

Substituting the values we get

[tex]\begin{gathered} Percentage\text{ }decrease\text{ }in\text{ }chefs=\frac{100600-98100}{100600}\times100 \\ \\ =\frac{2500}{100600}\times100 \\ \\ =0.0248\times100 \\ =2.48\% \end{gathered}[/tex]

The percentage decrease in number of service manager is given by

[tex]\begin{gathered} Percentage \\ =\frac{number\text{ }of\text{ }service\text{ }manager\text{ }in\text{ }2010-number\text{ }of\text{ }service\text{ }manager\text{ }in\text{ }2020}{number\text{ }of\text{ }service\text{ }manager\text{ }in\text{ }2010}\times100 \end{gathered}[/tex]

Substituting the values we get

[tex]\begin{gathered} Percentage\text{ }decrease\text{ }in\text{ }service\text{ }manager=\frac{320800-318000}{320800}\times100 \\ \\ =\frac{2800}{320800}\times100 \\ \\ =0.0087\times100 \\ =0.87\% \end{gathered}[/tex]

Final answer:

The chef's job is facing the largest percentage decrease by 2.48%