Question

question 6 (02.02 lc) if f(x) is the height, in cm, of a sunflower plant that is x days old, which of the following statements best describes the meaning of f(60)=210? (1 point) the height of the sunflower plant is 60 cm when it is 210 days old. the height of the sunflower plant is 210 cm when it is 60 days old. the height of the sunflower plant is 210 cm when it is 3.5 days old. the height of the sunflower plant is 60 cm when it is 3.5 days old. question 7 (02.02 mc) given the function f(x)= - 5x^2 + 2x + 9, find f(1) and f(2). choose the statement that is true concerning these two values. (1 point) the value of f(1) cannot be compared to the value of f(2). the value of f(2) is larger than the value of f(1). the value of f(2) is smaller than the value of f(1). the value of f(1) is the same as the value of f(2).

Explanation:

Question 6

In the function $f(x)$ where $x$ represents the number of days old and $f(x)$ represents the height in cm, when $x = 60$ and $f(60)=210$, it means the height of the sun - flower plant is 210 cm when it is 60 days old.

Step1: Calculate f(1)

Substitute $x = 1$ into $f(x)=-5x^{2}+2x + 9$.
$f(1)=-5\times1^{2}+2\times1 + 9=-5 + 2+9=6$

Step2: Calculate f(2)

Substitute $x = 2$ into $f(x)=-5x^{2}+2x + 9$.
$f(2)=-5\times2^{2}+2\times2 + 9=-5\times4 + 4+9=-20 + 4+9=-7$

Step3: Compare f(1) and f(2)

Since $6>-7$, the value of $f(1)$ is larger than the value of $f(2)$.

Answer:

The height of the sunflower plant is 210 cm when it is 60 days old.

Question 7