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A dog breeder charges a certain amount of money for litter of puppies along with a per puppy share. A litter with 6 puppies costs $172 and a littered with 10 puppies costs $220. Write an equation that could be used to calculate the cost, y, of any number of puppies, x.

Hint: y = mx + b



Answer :

adioabiola

Given the task content, the cost, y, of any number of puppies, x is modeled by the equation y = mx + b where cost of any number of puppies is $12

Equation

There are three major types of equation. Namely,

  • Linear equation
  • Quadratic equation
  • Simultaneous equation

An equation can be solved through the following methods:

  • Factorization
  • Graphical method
  • Completing the square method
  • Substitution method
  • Elimination method

Given:

6 puppies costs $172

10 puppies costs $220

y = mx + b

Where,

  • y = total cost
  • x = number of puppies
  • m = cost of each litter
  • b = fixed cost

172 = m(6) + b

220 = m(10) + b

172 = 6m + b

220 = 10m + b

  • substract the equation

48 = 4m

m = 48/4

m = 12

  • Substitute m = 12 into

172 = 6m + b

172 = 6(12) + b

172 = 72 + b

172 - 72 = b

100 = b

Therefore, the cost of any number of puppies is $12

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