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? s(h) = 0.004h – 37
f(h) = 37h + 0.004
f(s) = 0.004s + 37

f(h) = 0.004s + 37

Step-by-step explanation:

The correct representation of the height of the plant is;

          f(h) = 0.004s + 37

Given parameters;

  Height of plant  = 37cm

  Rate of growth  = 0.004cm/hr

  Number of hours of sunlight  = s

To solve this problem, the height of the plant is directly dependent on the amount of sunlight;

     f(h) signifies that height is a function

The height of the plant is 37cm;

         f(h) = 37

The plant grows at a rate of 0.004cm/hr;  number of hours of sunlight is s;

       0.004s

Therefore;

  f(h) = 37 + 0.004s

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50