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Jayce is a taxi driver. M(n) models Jayce's fee (in dollars) for his n^("th ") drive on a certain day. What does the statement M(10)=K mean? Choose 1 answer: (A) Jayce's fees for his K^("th ") drive and his 10^("th ") drive are equal. (B) Jayce's fee for his 10^("th ") drive is equal to K dollars. (C) Jayce's fee for his K^("th ") drive is equal to $10.

Jayce is a taxi driver.\newlineM(n) M(n) models Jayce's fee (in dollars) for his nth n^{\text{th}} drive on a certain day.\newlineWhat does the statement M(10)=K M(10)=K mean?\newlineChoose 11 answer:\newline(A) Jayce's fees for his Kth K^{\text{th}} drive and his 10th 10^{\text{th}} drive are equal.\newline(B) Jayce's fee for his 10th 10^{\text{th}} drive is equal to K K dollars.\newline(C) Jayce's fee for his Kth K^{\text{th}} drive is equal to $10 \$10 .

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Full solution

Q. Jayce is a taxi driver.\newlineM(n) M(n) models Jayce's fee (in dollars) for his nth n^{\text{th}} drive on a certain day.\newlineWhat does the statement M(10)=K M(10)=K mean?\newlineChoose 11 answer:\newline(A) Jayce's fees for his Kth K^{\text{th}} drive and his 10th 10^{\text{th}} drive are equal.\newline(B) Jayce's fee for his 10th 10^{\text{th}} drive is equal to K K dollars.\newline(C) Jayce's fee for his Kth K^{\text{th}} drive is equal to $10 \$10 .
  1. Rephrase Question: Rephrase the ＂What does the statement M(10)=KM(10)=K represent in the context of Jayce's taxi fee model?＂
  2. Analyze Function M(n)M(n): Analyze the function M(n)M(n) and the statement M(10)=KM(10) = K. The function M(n)M(n) represents Jayce's fee for his nnth drive on a certain day. The statement M(10)=KM(10) = K means that when we input 1010 into the function MM, the output is KK.
  3. Interpret Output KK: Interpret the meaning of the output KK in the context of the function M(n)M(n). Since M(n)M(n) models Jayce's fee in dollars for his nnth drive, M(10)=KM(10)=K indicates that the fee for the 1010th drive is KK dollars.
  4. Compare Options: Compare the given options with the interpretation of M(10)=KM(10)=K. Option (A) suggests that the fees for the KKth and 1010th drives are equal, which is not indicated by the statement M(10)=KM(10)=K. Option (B) suggests that the fee for the 1010th drive is KK dollars, which aligns with our interpretation. Option (C) suggests that the fee for the KKth drive is $10\$10, which is not indicated by the statement M(10)=KM(10)=K.
  5. Choose Correct Answer: Choose the correct answer based on the analysis. The correct answer is (B) Jayce's fee for his 10th10^{th} drive is equal to KK dollars.

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