Question

The graph on the coordinate grid represents the altitude of a plane during a flight. A graph.Short description, A graph.,Long description, The graph shows the x-axis is labeled Time in minutes, and the y-axis is labeled Altitude in feet. The line increases steadily from the origin to 30 minutes, 35,000 feet. The line remains at 35,000 feet until 90 minutes, and then decreases steadily from 90 minutes, 35,000 feet to 100 minutes, 0 feet. Question At which approximate rate, in feet per minute, did the plane climb to the cruising altitude of 35,000 feet? Answer options with 5 options A. 30 feet per minute D. 2,000 feet per minute B. 117 feet per minute E. 2,333 feet per minute C. 1,167 feet per minute

Answer 1

C. 1,167 feet per minute

Explanation:

We want to find the slope of the first part of the graph, which was an increasing line from the origin (0, 0) to 30 minutes, 35000 feet. This point that represents 30 min and 35000 ft can be written as the ordered pair:

(30, 35000)

Slope is change in y divided by change in x. Here our two points are (0, 0) and (30, 35000). The change in y is the difference in y-coordinates:

35000 - 0 = 35000

The change in x is the difference in x-coordinates:

30 - 0 = 30

Now divide these two:

35000 ÷ 30 = 1166.67 ≈ 1167 feet per min

The answer is thus C.

Answer 2

C

Explanation:

Rate of climbing is the slope of the altitude-time graph

slope: (35000-0)/(30-0)

35000/30

1166 ⅔

Approximately, 1167 feet per minute