An advertising agency provides services to a pizza shop for a fixed rate of $2,500 per month plus a commission of 42% of the pizza's take-out sales. For this account to be profitable, the agency needs to bring in at least $8,800 a month from the pizza shop.

A. Write an inequality to represent what the pizza shop take-out sales must be for the advertising agency to be profitable.

B. Solve the inequality from Part A.

Question

An advertising agency provides services to a pizza shop for a fixed rate of $2,500 per month plus a commission of 42% of the pizza's take-out sales.  For this account to be profitable, the agency needs to bring in at least $8,800 a month from the pizza shop.  

A.  Write an inequality to represent what the pizza shop take-out sales must be for the advertising agency to be profitable.  

B.  Solve the inequality from Part A.

triciaal · Answer

think about  y = mx + b 

the fee is 2500 per month with no sales 
think of that as b the y- intercept

triciaal · Answer

the slope would be 42% of sales 
as sales increases the amount paid in commission increases 

cost = rental + commission

triciaal · Answer

to be profitable the sales must be greater than cost  and this amount is given so now the equation becomes an inequality where 

revenue >  cost  + 8800

revenue  > rental fee + commission + 8800 

do you have any questions? do you see what is happening?