At sea level, 0 ft elevation, the boiling point of water is 212degrees f, at an elevation of 6,500 ft the boiling point is only 200degrees f. write a linear function , f(x) that describes the boiling point of water

Step-by-step explanation:

Let the function be a cosine function

H(t)= A cos(B(t+C)) + D

Average height = -20 cm

The object's maximum and minimum heights are each 5 cm from its average height. Therefore:

Maximum Height,

Minimum Height ,  

The amplitude, A is denoted by :

The vertical shift, D is denoted by :

The period T is given by,

T=2 seconds

The phase shift , C is given by:

C=-0.2 (since it first achieves its average height to the right at t=0.2 sec)

Therefore, our function is defined as: