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Kaori is taking a free-throw.

H(d) models the basketball's height (in meters) at a horizontal distance of 
d meters from Kaori.
What does the statement 
H(R)=4 mean?
Choose 1 answer:
A The ball was at the same height at the horizontal distances of 4 meters and 
R meters.
(B) At a horizontal distance of 
R meters from Kaori, the ball's height was equal to 4 meters.
(C) At a horizontal distance of 4 meters from Kaori, the ball's height was equal to 
R meters.

Kaori is taking a free-throw.\newlineH(d) H(d) models the basketball's height (in meters) at a horizontal distance of d d meters from Kaori.\newlineWhat does the statement H(R)=4 H(R) = 4 mean?\newlineChoose 11 answer:\newlineAA The ball was at the same height at the horizontal distances of 4 4 meters and R R meters.\newlineBB At a horizontal distance of R R meters from Kaori, the ball's height was equal to 4 4 meters.\newlineCC At a horizontal distance of 4 4 meters from Kaori, the ball's height was equal to R R meters.

Full solution

Q. Kaori is taking a free-throw.\newlineH(d) H(d) models the basketball's height (in meters) at a horizontal distance of d d meters from Kaori.\newlineWhat does the statement H(R)=4 H(R) = 4 mean?\newlineChoose 11 answer:\newlineAA The ball was at the same height at the horizontal distances of 4 4 meters and R R meters.\newlineBB At a horizontal distance of R R meters from Kaori, the ball's height was equal to 4 4 meters.\newlineCC At a horizontal distance of 4 4 meters from Kaori, the ball's height was equal to R R meters.
  1. Given Function H(d)H(d): We are given the function H(d)H(d) which represents the height of the basketball at a horizontal distance dd from Kaori. The statement H(R)=4H(R) = 4 is a specific value of this function.
  2. Interpreting H(R)=4H(R)=4: To interpret H(R)=4H(R)=4, we need to understand that H(d)H(d) gives us the height of the basketball at any horizontal distance dd. Here, RR is a specific horizontal distance from Kaori, and the value of the function HH at this distance RR is given to be 44 meters.
  3. Analyzing Options: Now, we look at the options provided to determine which one correctly describes the meaning of H(R)=4H(R)=4. Option A suggests that the ball was at the same height at two different horizontal distances, which is not what the statement H(R)=4H(R)=4 implies.
  4. Option A: Option B suggests that at a horizontal distance of RR meters from Kaori, the ball's height was 44 meters. This matches the interpretation of the function H(d)H(d) and the specific value given by H(R)=4H(R)=4.
  5. Option B: Option C suggests that at a horizontal distance of 44 meters from Kaori, the ball's height was RR meters. This reverses the meaning of the function and the specific value given, which is incorrect.

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