Question

will fan and medal

Answer 1

The table below represents the atmospheric temperature at a location as a function of the altitude:


Altitude
(in thousand feet)
x
Temperature
(in °C)
f (x)
15
4
20
-6
25
-16
30
-26


The average rate of change of the function between x = 15 to x = 25 is ___degrees Celsius per thousand feet and represents the rate of change of temperature per thousand feet.

Answer 2

So the points are (15, 4), (20, -6), (25,-16) and (30,-26)?

Answer 3

yes

Answer 4

So, what I think what we're suppose to do is get the slope between each point (from x=15 to x=20, then from x=20 to x=25) and get the average of those 2.

Answer 5

The reason why I say this, instead of just getting the slope from x=15 to x=25, is because it asks for the average

Answer 6

Are you pickin up what I'm putting down?

Answer 7

for the most part

Answer 8

To get the slope of anything when you have 2 points, use the formula (y2-y1)/(x2-x1)

Answer 9

so it would be

15-20
20-25

Answer 10

Those are the x values that you use, yes.

Answer 11

So, for the first one, you would do:\[\frac{ 15-20 }{ 4-(-6) }\]

Answer 12

The points were (15,4), (20,-6), (25, -16)

Answer 13

ohh ok so it would be -0.5

Answer 14

Yes for that one. Now do it for the points (20,-6) and (25,-16)

Answer 15

1.5

Answer 16

Try that again, I think you misplaced a negative.

Answer 17

20-25 = -5
-6- (-16) = 10

Answer 18

ohhh i thought those were just subtractions not negatives

Answer 19

They are, its just the y values are negative

Answer 20

i got -0.5

Answer 21

We know this from what the points say.

Answer 22

yes

Answer 23

so would that be the average rate of change

Answer 24

Good, good. Now we get the average of -.5 and -.5. Which is still the same thing.

Answer 25

The was the rate of change between the points x=20 and x=25

Answer 26

ohh ok so it 0.5 again what next

Answer 27

No, you're right, it was -.5, however, that was just the change from x=20 to x=25. The question asks from x=15 to x=25

Answer 28

?

Answer 29

Oops, sorry, we had it backwards.

Answer 30

so the answers -0.5

Answer 31

so what do i do

Answer 32

But, thinking about it, I'm retarded. We could have just taken the slope from x=15 to x=25

Answer 33

I'm so stupid

Answer 34

omg im the same lol

Answer 35

4-(-16)
15-25

Answer 36

20
-10

Answer 37

-2

Answer 38

thats the answer

Answer 39

The main problem, the reason why this contridicts what you had before, is because we had the y values on the bottom when they're suppose to be on the top

Answer 40

Yes, it is. I do apologize for all the confusion.

Answer 41

i fine thanks for the help

Answer 42

No, I utterly dropped the ball.