Question

A bird's height function is described by y=0.6sin(12πx)+35, , where y represents height in meters and x represents seconds since the bird left the branch. Which function expresses y as a function of x?

a. y=0.6sin(12πx)+35
b. x=0.6sin(12πy)+35
c. x=35sin(12πy)+0.6
d. y=35sin(12πx)−0.6

Answer 1

The function that correctly expresses the height y as a function of time x since the bird left the branch is y=0.6sin(12πx)+35.

Step-by-step explanation:

The correct function that expresses y as a function of x is a. y=0.6sin(12πx)+35. This equation gives the height y in meters of a bird as a function of time x in seconds since the bird left the branch. The sine function indicates a periodic motion, 12π indicates the frequency of the oscillation, 0.6 represents the amplitude, and the constant 35 represents the average height above the branch. Therefore, a is the correct option and already expresses y as a function of x.