Thread: Roller Coaster Max Altitude

The path traveled by a roller coaster is modeled by the equation

y = 27 sin 13x + 30. What is the maximum altitude of the roller coaster?

Originally Posted by magentarita

The path traveled by a roller coaster is modeled by the equation

y = 27 sin 13x + 30. What is the maximum altitude of the roller coaster?

The maximum value of sine is 1 .
max = 57

Originally Posted by mathaddict

The maximum value of sine is 1 .
max = 57

How did you come up with 57 as the answer?

Originally Posted by magentarita

How did you come up with 57 as the answer?

y = 27 sin 13x + 30
= 27 (1) + 30
= 57
sin function is 1 when max

Originally Posted by mathaddict

y = 27 sin 13x + 30
= 27 (1) + 30
= 57
sin function is 1 when max

So, 57 = the coefficient of sine + the constant 30.