Step 1ask a research questionstep 2design a study and collect datastep 3explore the datastep 4draw inferences beyond the datastep 5formulate conclusionsstep 6<span>look back and ahead</span>
The constant speed, or "average rate of change" is their slope.
so hmmm looking at Fred's graph, let's pick two points on the line, say 0,0 the origin and 8,2

now, for Sam, let's use the last two points in the table then,
Answer:
42
Step-by-step explanation:
Trapezoid has 4 lines
If each side increase by 7, 4 lines totally increase by 7*4 = 28
Perimeter will be 14 + 28 = 42
The first thing you have to do is:
subtract: 11-5
Then subtract: -4-(-2)
then you put it as a fraction: 6/-2 or -3
That -3 would be considered the slope.
So now you have: y=-3x+ b
So what you have to do is plug in one of the points into the equation to find out what b is.
For example: 11 = -3(-4) + b
11=12 + b
-12 -12
b = -1
So the answer is: y = -3x -1
Answer:
The rate at which both of them are moving apart is 4.9761 ft/sec.
Step-by-step explanation:
Given:
Rate at which the woman is walking,
= 3 ft/sec
Rate at which the man is walking,
= 2 ft/sec
Collective rate of both,
= 5 ft/sec
Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min = 20 min
Now,
Distance traveled by man and woman are
and
ft respectively.
⇒ 
⇒ 
As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate
.
Lets calculate h.
Applying Pythagoras formula.
⇒
⇒ 
Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.
Differentiating with respect to time.
⇒ 
⇒ 
⇒
...as 
⇒ Plugging the values.
⇒
...as
ft/sec
⇒
ft/sec
So the rate from which man and woman moving apart is 4.9761 ft/sec.