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.

See below ~

Step-by-step explanation:

Equation Plan A

Equation Plan B

Equating them

Solving for y using x = 11

Comparing both plans when x = 13

Plan B pays more, that is the plan you should choose

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