Question 53434: The revenue of a sandwich shop is directly proportionate to its advertising.When the owner spent $2000 a month on advertising, the revenue was $120,000. If the revenue is now $180,000, how much is the owner spending on advertising?
McGraw Hill 6th edition, chapter 6, sec 4, problem # 64. Thanks for your help!!!!
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! Let R = revenue and A = amount spent on advertising. Since revenue (R) is directly proportional to advertising (A) you can write the equation:
R = kA where k is the constant of proportionality. To find the value of k, substitute the given values of R (revenue) and A (advertising) and solve for k.
$120,000 = $2,000(k) Divide both sides by $2,000
60 = k or k = 60 To find how much the owner is spending on advertising (A) if the revenue (R) is $180,000, use the equation from above (R = kA) and substitute R = $180,000 and k = 60.
$180,000 = 60(A) Divide both sides by 60.
$3,000 = A or A = $3,000
The owner is spending $3,000 on advertising.
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