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olga_2 [115]
2 years ago
8

A Ferris wheel at an amusement park is modeled by (x – 100)2 + (y – 75)2 = 4,900, where the measurements are in feet. A slingsho

t attraction is modeled by y = –3x2 + 48x – 30. Which attraction reaches a greater height, and what does it represent in terms of the context?
Mathematics
1 answer:
scoray [572]2 years ago
8 0

The attraction that reaches a greater height and what it represent in terms of the context  is:

  • The slingshot reaches a greater height at  162 ft, which is the vertex of the parabola.
  • The Ferris wheel reaches a greater height at 145 ft, which is the highest point on the circle.

<h3>Height</h3>

Ferris wheel

(x – 100)2 + (y – 75)2 = 4,900

y max= 75+70

y max=145 ft

Sling shot

y = –3x² + 48x – 30

dy/dx=-6+48=0

x=48/6

x=8

Hence:

y max = –3(8)² + 48(8) – 30
y max = –3×64+48(8)-30

y max = –192+384-30

y max =162 ft

Therefore slingshot reaches a greater height at  162 ft and Ferris wheel reaches a greater height at 145 ft.

Learn more about height here:brainly.com/question/1739912

#SPJ1

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