Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. the plant's height is 37 centimeters, and it grows at a rate of 0.004 centimeter per hour of sunlight. if the number of hours of sunlight is represented by the variable s, which function can represent the height of the plant? a. s(h) = 0.004h – 37 b. f(h) = 37h + 0.004 c. f(s) = 0.004s + 37

Option C.

Step-by-step 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

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

Convert to function notation

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option