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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 fee for his K^("th ") drive is equal to $10. (B) Jayce's fees for his K^("th ") drive and his 10^("th ") drive are equal. (C) Jayce's fee for his 10^("th ") drive is equal to K dollars.

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 fee for his Kth K^{\text{th}} drive is equal to $10 \$10 .\newline(B) Jayce's fees for his Kth K^{\text{th}} drive and his 10th 10^{\text{th}} drive are equal.\newline(C) Jayce's fee for his 10th 10^{\text{th}} drive is equal to K K dollars.

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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 fee for his Kth K^{\text{th}} drive is equal to $10 \$10 .\newline(B) Jayce's fees for his Kth K^{\text{th}} drive and his 10th 10^{\text{th}} drive are equal.\newline(C) Jayce's fee for his 10th 10^{\text{th}} drive is equal to K K dollars.
  1. Analyzing M(n) function: Let's analyze the function M(n), which models Jayce's fee for his n^{th} drive on a certain day. The statement M(1010)=K means that when we input 1010 into the function M, the output is KK. This tells us the fee for the 10th10^{th} drive.
  2. Interpreting the meaning of K: Now, let's interpret the meaning of K in the statement M(10)=KM(10)=K. Since KK is the output of the function when the input is 1010, KK represents the amount of money, in dollars, that Jayce charges for his 10th10^{\text{th}} drive.
  3. Comparing answer choices: We can now compare the given answer choices with our interpretation. Choice (A) suggests that KK is the number of the drive, which is incorrect because KK is the fee, not the drive number. Choice (B) suggests that the fees for the KKth and 1010th drives are equal, which is not stated or implied by M(10)=KM(10)=K. Choice (C) correctly states that Jayce's fee for his 1010th drive is KK dollars, which aligns with our interpretation.

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