SOLUTION: Can I please have help with this please. Sharon has applied to the Navy. She plans to play racquetball and cycle to get into shape for the fitness test. Sharon wants to spend no

Algebra ->  Graphs -> SOLUTION: Can I please have help with this please. Sharon has applied to the Navy. She plans to play racquetball and cycle to get into shape for the fitness test. Sharon wants to spend no       Log On


   

Question 1196526: Can I please have help with this please.
Sharon has applied to the Navy. She plans to play racquetball and cycle to get into shape for the fitness test. Sharon wants to spend no more than 12 hours exercising a week and wants to burn a maximum of 7000 calories. She has calculated that she will burn 700 calories per hour playing racquetball and 350 calories per hour cycling.

Describe this scenario, what qualities should x and y represent?
Write a system of inequalities which will represent Sharon’s situation(There are 4 linear inequalities for this scenario)

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
Can I please have help with this please.
Sharon has applied to the Navy. She plans to play racquetball and cycle
to get into shape for the fitness test.
Sharon wants to spend no more than 12 hours exercising a week
and wants to burn a maximum of 7000 calories.
She has calculated that she will burn 700 calories per hour playing racquetball
and 350 calories per hour cycling.

Describe this scenario, what qualities should x and y represent?
Write a system of inequalities which will represent Sharon’s situation
(There are 4 linear inequalities for this scenario)
~~~~~~~~~~~~~~~~~ 

Let x represents the hours spent for racquetball,

and let y represents the hours cycling.


Then the four linear inequalities you are requesting for are

    x + y <= 12          hours          (1)

    700x + 350y <= 7000  calories       (2)

    x >= 0                              (3)

    y >= 0                              (4)


Notice that inequality (2) is written exactly and precisely in accordance 
with your wording in the post,


        but your wording in the post is ILLOGICAL,
        since the normal logical wording should be 


    "She . . . wants to burn  highlight%28highlight%28at_least%29%29  7000 calories."


Then for this updated wording, the corresponding inequality would be  highlight%28highlight%28opposite%29%29  to (2)

    700x + 350y >= 7000  calories       (2')


To write  Math correctly,  you should  highlight%28highlight%28read_it%29%29  from good sources.