Posted by **Anonymous** on Wednesday, January 4, 2012 at 8:26pm.

McDougal's Restaurant has a play area for children under and around their giant arch ( in the shape of parabola with negative orientation). They plan to set up a new activity that allows children to bungee jump from the arch. The manager, upon hearing of your team's expertise, hires you to calculate the maximum stretch of the rope that will keep the kids safe. The arch is 50 feet high and 40 feet wide at the base. The jumping location will be 5 horizontal feet away from the axis of symmetry of the arch.

A. Write an equation to model the shape of the arch.

- math -
**Reiny**, Wednesday, January 4, 2012 at 8:33pm
let the x-axis be the ground and the y-axis the axis of symmetry

Make a sketch, your jump will be when x = 5

equation is y = ax^2 + 50

but (20,0) is the x-intercept , the other is (-20,0)

so 0 = a(20^2) + 50

400a = -50

a = -1/8

y = (-1/8)x^2 + 50

when x = 5

y = (1/8)(25) + 50 = 46.875 ft

max stretch is 46.875 ft, (it will "touch" the ground)

## Answer this Question

## Related Questions

- Early Childhood Education - An activity center is an area where A. teachers ...
- Creative Expression and Play Question - Cognitive development is fostered by ...
- algebra - The drama club is building a backdrop using arches whose shape can be ...
- math - Which of the following is a subset of set A? A: {children between the ...
- Math - Adult tickets for a play cost $15 and child tickets cost $6. If there ...
- math - Adult tickets for a play cost $15 and child tickets cost $6. If there ...
- •teaching in early chldhood programs - Which of the following is a correct ...
- math - in a class of 38 children,19 play tennis, 21 play squash and 10 play ...
- practical math - 7 children play the piano. 8 children play flute. 5 children ...
- Pre-Calculus - The Gateway Arch in St. Louis, Missouri is not a parabola but a ...

More Related Questions