kattsai07
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Help ASAP!!


A. You have everything you need to write your modeling equation! Using the information about amplitude(-60), vertical shift(70), horizontal shift(0), and period(pi/30), write an equation for your modeling function.

B. Antoine and Adriane both want to know how long it will take to reach an elevation of 100 feet above the ground. Use your function to determine how long it will take for your Ferris wheel rider to reach that elevation

Respuesta :

MrRoyal

The equation of the function is y = 60sin(1/15t) + 70 and it will take 92.45 unit of time to reach 100 feet above the ground

The equation of the function

The given parameters are:

  • Amplitude, A = 60 (amplitude is always positive)
  • Vertical shift, D = 70
  • Horizontal shift, C = 0
  • Period, T = π/30

The function is represented as:

y = Asin(Bt + C) + D

Where:

B = 2π/T

So, we have:

B = 2π/π/30

Evaluate

B = 1/15

The equation becomes

y = 60sin(1/15t + 0) + 70

This gives

y = 60sin(1/15t) + 70

The time to reach 100 feet above the ground

This means that:

t = 100

So, we have:

y = 60sin(1/15* 100) + 70

Evaluate

y = 92.45

Hence, it will take 92.45 unit of time to reach 100 feet above the ground

Read more about sine functions at:

https://brainly.com/question/10700288

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