During a radio contest, 50 dollars is added to the prize money each time a caller answers the contest question incorrectly. The first caller has a chance to win 100 dollars Which equation represents the amount the 10 th caller receives if this caller is the first to answer the question correctly?
Answer
A
A sub 10 is equal to 50 plus open paren 10 minus 1 close paren times 100
B
A sub 10 is equal to 100 plus open paren 10 minus 1 close paren times 50
C
A sub 11 is equal to 50 plus open paren 11 minus 1 close paren times 100
D
A sub 11 is equal to 100 plus open paren 11 minus 1 close paren times 50
Explanation
The first caller can win $100, and each incorrect answer adds $50 to the prize. If the 10th caller is the first to answer correctly, the first 9 callers answered incorrectly, so the amount is $100 + (10 − 1) × $50. This matches choice B: A₁₀ = 100 + (10 − 1) × 50.
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