SOLUTION: A professional soccer player is negotiating her contract. Using the advice of her manager, she asked for $800,000 for the year, plus an additional $1,500 for every game she plays i

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A professional soccer player is negotiating her contract. Using the advice of her manager, she asked for $800,000 for the year, plus an additional $1,500 for every game she plays i      Log On


   

Question 1196032: A professional soccer player is negotiating her contract. Using the advice of her manager, she asked for $800,000 for the year, plus an additional $1,500 for every game she plays in. The team offered $6,000 for every game played and $600,000 for the year. How many games would she need to play for the team’s offer to be the better option?
Answer by ikleyn(52765) About Me  (Show Source):
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A professional soccer player is negotiating her contract.
Using the advice of her manager, she asked for $800,000 for the year,
plus an additional $1,500 for every game she plays in.
The team offered $6,000 for every game played and $600,000 for the year.
How many games would she need to play for the team’s offer to be the better option?
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Let g be the number of games (an unknown value under the problem's question).

Write inequality as you read the problem

    800000 + 1500g < 600000 + 6000g.


Simplify and find g

    800000 - 600000 < 6000g - 1500g

        200000      <    4500g

           g        >    200000%2F4500

           g        >    44.44...


Since g is an integer number, we should round this decimal value of  44.44...  to the closest greater integer, which is 45.


ANSWER.  The team's offer is better option if the number of games is at least 45.

Solved.