SOLUTION: The amount of money that a magazine pays for an article varies directly as the number of words in the article. If the magazine pays $720 for a 1200-word article, how much will be p

Algebra ->  Functions -> SOLUTION: The amount of money that a magazine pays for an article varies directly as the number of words in the article. If the magazine pays $720 for a 1200-word article, how much will be p      Log On


   



Question 1202464: The amount of money that a magazine pays for an article varies directly as the number of words in the article. If the magazine pays $720 for a 1200-word article, how much will be paid for an article of 1500 words?

Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
The amount of money that a magazine pays for an article varies directly
as the number of words in the article. If the magazine pays $720 for a 1200-word article,
how much will be paid for an article of 1500 words?
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Write a proportion

    words%2Fdollars = 1200%2F720 = 1500%2Fx.


From this proportion, find  x = %28720%2A1500%29%2F1200 = %28720%2A5%29%2F4 = 180*5 = 900 dollars.    ANSWER

Solved.

Notice that the proportion says that the ratio  words%2Fdollars
remains the same  (remains constant),  exactly as the problem states.

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For introductory lessons on proportions,  see the lessons
    - Proportions
    - Using proportions to solve word problems
    - Typical problems on proportions
    - Using proportions to estimate the number of fish in a lake
    - HOW TO algebraize and solve these problems using proportions
in this site.

Learn the entire subject from there.


Happy learning  ( ! )



Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
m, amount of money
w, number of words
k, variation constant

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amount of money that a magazine pays for an article varies directly as the number of words in the article.
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m=kw

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If the magazine pays $720 for a 1200-word article, how much will be paid for an article of 1500 words?
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Enough information to answer the question.
Also you can start with the article's word count and use the pay rate to solve for the amount of pay. Unit Conversion!
1500%2Awords%2A%28720%2F1200%29%28dollars%2Fwords%29