32. at lakeside park restaurant, servers earn an average of $840 less per month than chefs. the restaurant…

32. at lakeside park restaurant, servers earn an average of $840 less per month than chefs. the restaurant employs 4 chefs and 18 servers. let c represent the average monthly pay of a chef. which of the following functions correctly shows the relationship between the monthly payroll (p) and the wages of these employees?\na. 4c + 18c - 840\nb. 4(c - 840) + 18c\nc. 22c - 840\nd. 4c + 18(c - 840)

32. at lakeside park restaurant, servers earn an average of $840 less per month than chefs. the restaurant employs 4 chefs and 18 servers. let c represent the average monthly pay of a chef. which of the following functions correctly shows the relationship between the monthly payroll (p) and the wages of these employees?\na. 4c + 18c - 840\nb. 4(c - 840) + 18c\nc. 22c - 840\nd. 4c + 18(c - 840)

Answer

Explanation:

Step1: Find average pay of servers

Since servers earn $840 less per month than chefs and average pay of a chef is $c$, average pay of a server is $c - 840$.

Step2: Calculate total pay of chefs

The restaurant has 4 chefs. Total pay of chefs is number of chefs times average pay of a chef, so it is $4c$.

Step3: Calculate total pay of servers

The restaurant has 18 servers. Total pay of servers is number of servers times average pay of a server, so it is $18(c - 840)$.

Step4: Calculate total monthly - payroll

The total monthly - payroll $P$ is the sum of total pay of chefs and total pay of servers. So $P=4c + 18(c - 840)$.

Answer:

D. $4c + 18(c - 840)$