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If [tex]f(x)[/tex] is the height, in cm, of a sunflower plant that is [tex]x[/tex] days old, which of the following statements best describes the meaning of [tex]f(60)=210[/tex]?

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

Answer :

Certainly! Let's analyze the function notation and what it means in this context.

We have a function [tex]\( f(x) \)[/tex] that represents the height, in centimeters (cm), of a sunflower plant that is [tex]\( x \)[/tex] days old.

The notation [tex]\( f(60) = 210 \)[/tex] can be interpreted as the following:
- The input [tex]\( x = 60 \)[/tex] days represents the age of the sunflower plant.
- The output [tex]\( f(60) = 210 \)[/tex] cm represents the height of the sunflower plant at that age.

Putting this together, [tex]\( f(60) = 210 \)[/tex] means:
- When the sunflower plant is 60 days old, its height is 210 cm.

Let's review the given statements:
1. The height of the sunflower plant is 60 cm when it is 210 days old.
2. The height of the sunflower plant is 210 cm when it is 60 days old.
3. The height of the sunflower plant is 210 cm when it is 3.5 days old.
4. The height of the sunflower plant is 60 cm when it is 3.5 days old.

Among these statements:
- Statement 2 ("The height of the sunflower plant is 210 cm when it is 60 days old.") correctly represents the meaning of [tex]\( f(60) = 210 \)[/tex].

Therefore, the correct answer is:
- The height of the sunflower plant is 210 cm when it is 60 days old.

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Rewritten by : Barada