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If \( f(x) \) represents the height in cm of a sunflower plant, what does \( f(60) = 210 \) mean?

A. The height is 60 cm when it is 210 days old.
B. The height is 210 cm when it is 60 days old.
C. The height is 210 cm when it is 3.5 days old.
D. The height is 60 cm when it is 3.5 days old.

Answer :

Final answer:

The mathematical notation f(60) = 210 means that a sunflower plant is 210 cm tall when it is 60 days old. So, the correct option is b.

Explanation:

If f(x) represents the height in cm of a sunflower plant, the expression f(60) = 210 signifies that the height of the plant is 210 cm when the plant is 60 days old. The variable x usually corresponds to the input of the function, which in this context, pertains to the age of the plant in days. The output, f(x), corresponds to the height of the plant. Therefore, option b is correct.

When analyzing the function f(60) = 210, the number inside the parentheses (in this case, 60) is substituted into the function to calculate the height. Simply put, we take the age of the plant in days (which is the input value) and use the function to determine its corresponding height (which is the output value). Therefore, according to the given options, option b is the correct interpretation of the function notation f(60) = 210.

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