Question

The Mega Monstrosity roller coaster has many hills and turns.

It slowly rides
up the 315-foot hill, then it rolls along the peak. Then, it drops 195 feet and
continues to travel along winding tracks. The roller coaster then travels up a
60-foot hill, and then drops 90 feet. It whips through a turn, then zips up a
30-foot hill. Finally, it drops 120 feet, coasts up a 30-foot hill, and then stop-

Sasha and Juan team up to sketch a graph that possibly models the
elevation the roller coaster travels.


Which Statement correctly describes the quality and accuracy of their sketch?

Select all that apply

A. The segments g, i, l, and accurate leave it represent no change in elevation

B. The segments f, j, m, and p accurately represent the increase of the elevation of the Hills.

C. they selected 15 feet for the scale of the Y axis for elevation, and 15 seconds for the scale of the X axis for time which is reasonable.

D. they selected 30 feet for the scale of the Y axis for elevation, and 60 seconds for the scale of the X axis for time which is reasonable.

E. The segments g, i, and l are accurate, but segment g should end at point (360, 0).

Answer 1

The correct statements regarding the quality and accuracy of Sasha and Juan's sketch are that segments g, i, and l are accurate, but segment g should end at point (360, 0), and the segments f, j, m, and p accurately represent the increase in elevation of the hills.

To evaluate the quality and accuracy of Sasha and Juan's graph sketching the elevation travel of the Mega Monstrosity roller coaster, we need to consider the different aspects of the roller coaster's journey and how they may be represented on a graph.

For statement A, the segments g, i, l, and o should represent periods where there is no change in elevation, such as when the roller coaster is traveling along the peak or straight sections between hills. If these segments are flat on the graph, this would be accurate.

Regarding statement B, the elevation increase for the hills would be correctly depicted by segments f, j, m, and p if they show a positive slope on the graph, indicating an increase in elevation.

For statements C and D, choosing a reasonable scale for the graph is crucial for accurately representing the roller coaster's elevation and the duration of the ride. Typically, such a graph would have time on the x-axis and elevation on the y-axis. A scale of 15 feet per unit for elevation and 15 seconds per unit for time, or 30 feet per unit for elevation and 60 seconds per unit for time, could both be reasonable selections, depending on the length of the ride and the detail required for the graph.