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T=2.2 t
A track coach believes he can predict an elite runner's 400 -meter time, 
T, based on his 200 -meter time, 
t, using the given equation. What is the meaning of the 2.2 in the equation?
Choose 1 answer:
(A) A runner's 400 -meter time is twice his 200 -meter time.
(B) A runner's 400 -meter time is twice his 200 -meter time, plus 
2% of his 200 meter time.
(C) A runner's 400 -meter time is twice his 200 -meter time, plus 
10% of his 200 meter time.
(D) A runner's 400 -meter time is twice his 200 -meter time, plus 
20% of his 200 meter time.

T=2.2t T=2.2 t \newlineA track coach believes he can predict an elite runner's 400400 -meter time, T T , based on his 200200 -meter time, t t , using the given equation. What is the meaning of the 22.22 in the equation?\newlineChoose 11 answer:\newline(A) A runner's 400400 -meter time is twice his 200200 -meter time.\newline(B) A runner's 400400 -meter time is twice his 200200 -meter time, plus 2% 2 \% of his 200200 meter time.\newline(C) A runner's 400400 -meter time is twice his 200200 -meter time, plus 10% 10 \% of his 200200 meter time.\newline(D) A runner's 400400 -meter time is twice his 200200 -meter time, plus 20% 20 \% of his 200200 meter time.

Full solution

Q. T=2.2t T=2.2 t \newlineA track coach believes he can predict an elite runner's 400400 -meter time, T T , based on his 200200 -meter time, t t , using the given equation. What is the meaning of the 22.22 in the equation?\newlineChoose 11 answer:\newline(A) A runner's 400400 -meter time is twice his 200200 -meter time.\newline(B) A runner's 400400 -meter time is twice his 200200 -meter time, plus 2% 2 \% of his 200200 meter time.\newline(C) A runner's 400400 -meter time is twice his 200200 -meter time, plus 10% 10 \% of his 200200 meter time.\newline(D) A runner's 400400 -meter time is twice his 200200 -meter time, plus 20% 20 \% of his 200200 meter time.
  1. Equation Explanation: The equation T=2.2tT=2.2t means that the 400400-meter time (TT) is 2.22.2 times the 200200-meter time (tt).
  2. Breakdown of 2.22.2 Times: To understand what 2.22.2 times means, we can break it down into 22 times (which is double the 200200-meter time) plus 0.20.2 times the 200200-meter time.
  3. Understanding 0.20.2 Times: 0.20.2 times the 200200-meter time is the same as 20%20\% of the 200200-meter time, because 0.20.2 is the same as 20100\frac{20}{100}.
  4. Interpretation of 2.22.2: So, the 2.22.2 in the equation means that a runner's 400400-meter time is twice his 200200-meter time, plus 20%20\% of his 200200-meter time.

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