Answered

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Use the graph to answer the question.The graph shows the height of a passenger on a Ferris wheel. Which equation can be used to model the data?

Use The Graph To Answer The QuestionThe Graph Shows The Height Of A Passenger On A Ferris Wheel Which Equation Can Be Used To Model The Data class=

Sagot :

Answer: The correct option is C

Explanation:

From the graph,

the x axis represents time

the y values represent height

We would substitute values of x from the graph into each equation and find the corresponding values of y or h.

From the graph,

when x = 0, f(x) = h = 25

We would substitute x = 1, π = 180 in each option. The option that gives us f(0) = 25 is the correct option. We have

A) f(0) = - 20Cos(180x/5) + 25

f(0) = - 20Cos0 + 25 = - 20 + 25

f(0) = 5

B) f(0) = - 25Cos(180x/5) + 20

f(0) = - 25Cos0 + 20 = - 25 + 20

f(0) = - 5

C) f(0) = - 20Sin(180x/5) + 25

f(0) = - 20Sin0 + 25 = 0 + 25

f(0) = 25

D) f(0) = - 25Sin(180x/5) + 20

f(0) = - 25Sin0 + 25 = 0 + 20

By substituting other values of x into each equation, option C gave the closest values of f(x) on the graph

The correct option is C

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