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Suppose you have a budget of 450 dollars for one month. You would like to buy some textbooks and CDs.The average cost of a book is 55 dollars each and that of a CD is12 dollars each. Let x denote the number of books you buy and y denote thenumber of CDs that you buy.This is what I have tried and I just cannot get the right answer.Write the equation of your budget constraint in the form y=mx+b, where m and b are some numbers.y=55x+450 andy=4.58x+37.5

Respuesta :

Answer: The equation is  y = -4.58 x +37.5

Step-by-step explanation:

Hi, to write the equation we have to analyze the information given:

  • Cost of a book ( x) = $55
  • Cost of a CD (y) = $12
  • Budget = $450

So, we have to multiply the cost of each book ($55) by the number of books purchased (x) and add the number of CDs purchased (y) multiplied by the cost of each cd ($12).  

The expression obtained has to be equal to the budget we have.

Mathematically speaking:

  • 55x + 12y =450

Isolating the variable "y"

12y = -55x +450

y = -4.58 x +37.5

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