Question

Scientist are preparing two satellites to be launched. The equation y=6400x represents the number of miles,y, that the satellite, Space exploror b, flies in x hours. The graph represent the number of miles ,y, that the satellite, space exploror A , flies in x hours.

Answer 1

Space Explorer A travels 3,200 miles per hour, slower than Space Explorer B.

Explanation:

To see the distance each of these space explorers travel per hour, find the slope of both equations.

y = mx + b

Where "m" represents the slope.

Space Explorer B's equation:

y = 6400x

6400 is the slope.

Since we know the slope of space explorer B travels (6400), let's find space explorer A's distance per hour to determine who's faster.

Use two points that they give on the graph to find the slope using slope formula:

m =
`(y_(2) - y_(1) )/(x_(2) - x_(1) )`

Where (x1, y2) represent one coordinate pair, and the other (x2, y2) represents the second pair.

Using the two coordinate pairs they give us:

(5, 16000) and (10, 32000).

We'll call (10,32000) the second coordinate pair.

Now plug into formula:

y2 - y1

______

x2 - x1

Substitute:

32000 - 16000

_____________

10 - 5

Solve:

16000

_______

5

Which is:

16000/5

= 3200 is the slope for space explorer A.

Space Explorer A travels 3,200 miles per hour.

Compare the two slopes:

Space Explorer B: 6400

Space Explorer A: 3200

Space Explorer B travels faster.

Place the statements together:

Space Explorer A travels 3,200 miles per hour, slower than Space Explorer B.