What is the rate of change of the function?
2 answers:
Answer:
Option A
Step-by-step explanation:
The given function is a linear function therefore rate of change of this function will be the slope of the given line.
Since this line passes through two points ( 0,1 ) and ( 0.5 0 )
the slope of the line =
slope =
= ( -2 )
Therfore, Option A will be the answer.
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Answer:
Step-by-step explanation:
we know that
The equation of the line in standard form is in the form
where
A is a positive integer, and B, and C are integers
In this problem we have
----> equation of the line in slope intercept form
Convert to standard form
Multiply by 5 both sides
<h3>Answer: 2.2 units</h3>
============================================
Explanation:
I'll define these point labels
- B = Blake's starting position
- F = finish line
- C = the third unmarked point of the triangle
The locations of the points are
- B = (-8,1)
- C = (-6,-3)
- F = (4,-2)
Use the distance formula to find the distance from B to C
Segment BC is roughly 4.47214 units long.
Following similar steps, you should find that segment CF is approximately 10.04988 units long.
If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.
---------
Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.
Subtract this and the previous result we got
14.52202 - 12.36932 = 2.1527
That rounds to 2.2
This is the amount of distance he doesn't have to travel when he takes the shortcut.
In other words, the track is roughly 2.2 units shorter when taking the shortcut.
Side note: Replace "units" with whatever units you're working with (eg: feet or meters).