Answer:
Option C.
![F(s)=0.004s+37](https://img.qammunity.org/2020/formulas/mathematics/high-school/ij1fwulk3hf5hi1poabo8lf71iyvuyi3gz.png)
Explanation:
Let
F(s) ----> the plant's height in cm
s -----> the number of hours of sunlight
we know that
The equation of the line in slope intercept form is equal to
![y=mx+b](https://img.qammunity.org/2020/formulas/mathematics/high-school/8nudzfk4b5l0arb9iixag2w8am6zn99zlr.png)
where
m is the slope of rate of change
b is the y-intercept or initial value
In this problem we have
m=0.004 cm/h -----> the slope is the rate of grow
b=37 cm ----> the y-intercept (initial value)
substitute the values in the equation
![y=0.004s+37](https://img.qammunity.org/2020/formulas/mathematics/high-school/adtbdj2b70roryofehflji1yvp3zd4idzh.png)
Convert to function notation
![F(s)=0.004s+37](https://img.qammunity.org/2020/formulas/mathematics/high-school/ij1fwulk3hf5hi1poabo8lf71iyvuyi3gz.png)