Quandaries and Queries
  


the level of the question: College Algebra
who is asking the question: (student)

How do I figure this problem out,or how do I translated?
How do I work it out, or translate it?

C is 10 more then the square of the quotient of the sum of x and y , and the product of x and y. Which equation expresses this relationship? 

A. C=(x+y +10)^2
      ___
       xy

B. C=(x+y)^2 + 10
      ___
       xy

C. C=(xy)^2+10
     ___
     x+y

D. C=(x+y)^2 + 10
      ____
       xy



Hi Carolina,

Actually I don't think that any of the choices is correct. Lets analyze the statement

C is 10 more then the square of the quotient of the sum of x and y , and the product of x and y. It says C is 10 more than something. This C = something + 10 Options B., C, and D. are of this form but A. is not. Thus A. is not correct.

Look ath the statement again

C is 10 more then the square of the quotient of the sum of x and y , and the product of x and y. I know that the sum of x and y and the product of x and y both go with the quotient since the quotient takes two parameters. (We know that the quotient of 4 and 3 is 4/3 but the quotient of 4 makes no sense.) Thus the quotient of the sum of x and y , and the product of x and y is  x + y/xy and hence C. is not correct.

The statement now reads

C = the square of ( x + y/xy) + 10 which is C = ( x + y/xy)2 + 10

Cheers,
Penny


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