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On a quiz show you've made it to the final round. The host explains to you that you can choose from 2 prize plans. In Plan A, you'll win $860 guaranteed, plus $40 more for each final round question you answer correctly. Under Plan B, you'll win only $200 guaranteed, but $100 for each question.

On a quiz show youve made it to the final round The host explains to you that you can choose from 2 prize plans In Plan A youll win 860 guaranteed plus 40 more class=

Respuesta :

Answer:

See below ~

Step-by-step explanation:

Equation Plan A

  • y  = 40x + 860

Equation Plan B

  • y = 100x + 200

Equating them

  • 40x + 860 = 100x + 200
  • 60x = 660
  • x = 11
  • The plans will pay the same at 11 correct questions.

Solving for y using x = 11

  • y = 100(11) + 200
  • y = 1100 + 200
  • y = 2300
  • The amount they'll pay at that number of questions is $2,300

Comparing both plans when x = 13

  • Plan A : 40(13) + 860 = 520 + 860 = $1,380
  • Plan B : 100(13) + 200 = 1300 + 200 = $1,500
  • As Plan B pays more, that is the plan you should choose

Answer:

plan b

Step-by-step explanation:

Equation Plan A

y  = 40x + 860

Equation Plan B

y = 100x + 200

Equating them

40x + 860 = 100x + 200

60x = 660

x = 11

The plans will pay the same at 11 correct questions.

Solving for y using x = 11

y = 100(11) + 200

y = 1100 + 200

y = 2300

The amount they'll pay at that number of questions is $2,300

Comparing both plans when x = 13

Plan A : 40(13) + 860 = 520 + 860 = $1,380

Plan B : 100(13) + 200 = 1300 + 200 = $1,500

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