Barbara is deciding between Banquet Chefs and CeCe's Catering to cater an awards banquet. Barbara needs to choose the company that costs less, but she does not yet know how many guests will be attending.

In this scenario you should use chefs if you have less than 55 people and you should use cece's if you have more than 55 people.  

Step-by-step explanation:

To find out which one will be cheaper you need to know where they intersect, to do this you need to set up a system of equations.

y=28x+590 (chefs)

y=31x+425 (cece's)

to know where they intersect you need to make the y=0

28x+590=31x+425

Then solve

subtract the x from each side

590=3x+425

Subtract 425 from each side

3x=165

divide each side by three

x=55

now evaluate

Place a number above 55 (60 for example) into the place of x

28(60)+590=2,270

31(60)+425=2,285

In this scenario you should use chefs if you have less than 55 people and you should use cece's if you have more than 55 people.  

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction