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, yo u'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.
2 answers:
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
Answer:
See below ~
Step-by-step explanation:
<u>Equation Plan A</u>
<u>Equation Plan B</u>
<u>Equating them</u>
40x + 860 = 100x + 200 60x = 660 x = 11 The plans will pay the same at 11 correct questions.
<u>Solving for y using x = 11</u>
y = 100(11) + 200 y = 1100 + 200 y = 2300 The amount they'll pay at that number of questions is $2,300
<u>Comparing both plans when x = 13</u>
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
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The easy way is just to divide by 3
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Answer 125
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Step-by-step explanation:
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<span>
, where x is unknown numer
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