Question

When planning for a party, one caterer recommends the amount of meat be at least 2 pounds less than One-third the total number of guests. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

Answer 1

Given : When planning for a party, one caterer recommends the amount of meat be at least 2 pounds less than One-third the total number of guests.

To Find : Graph represents the overall equation represented by this scenario

Solution:

Number of guests = x    ( independent variable)

Meat  = y    ( dependent variable)

amount of meat be at least 2 pounds less than One-third the total number of  guests

=> y   ≥  x/ 3  - 2  

draw a line using equation y  = x/3 -  2

so graph passes through  ( 0 , -  2  )  ,  (3, -  1)  

now check origin

0    ≥   0 -  2

=> 0    ≥  -  2

Hence origin satisfy

so graph where  ( 0 , -  2  )  ,  (3, -  1)    are on the line

and origin is in shaded region is correct graph

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