Question

1. A ride descends from 100 meters straight down to 0 meters. The distance from the ground at any time is represented by the graph. The slope of the line is -4/5 between 0 and 125 seconds. How far did the ride descend in the time indicated by the marked vertical distance on the graph? (Orange line)

2. A car travels at a rate of 65 mph on a flat highway. How long did it take the car to get from a distance of 123 miles to 318 miles on its journey? (purple line)

Answer 1

9514 1404 393

Answer:

1. 12 m
2. 3 hours

Explanation:

1.

The slope of the line is "rise"/"run". Here, the "run" is given as (27 s -12 s) = 15 s. So, we have ...

(change in distance)/(15 s) = -4/5 m/s

change in distance = (-4/5 m/s)(15 s) = -12 m

The ride descended 12 meters in the time indicated on the graph.

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2.

Again, the slope is "rise"/"run".

65 mi/h = (318 mi -123 mi)/(travel time)

travel time = (195 mi)/(65 mi/h) = 3 h

The car took 3 hours to get from 123 miles to 318 miles.