Question

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

Answer 1

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

please help

Answer 3

Have you made a graph of f(x) against x ?

Answer 4

yes

Answer 5

i don't know if i got the answer right so i wanna make sure

Answer 6

What is the shape of your graph?

Answer 7

The shape?

Answer 8

Is the graph a curve for example?

Answer 9

oh ok

Answer 10

1 sec

Answer 11

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

Answer 12

plz help @kropot72

Answer 13

When those points are plotted and joined, what is the shape of the graph?

Answer 14

it is a diagonal line

Answer 15

its stright

Answer 16

like this

Answer 17

Correct, it is a straight line with a negative slope. Therefore the calculation of the average rate of change of temperature with altitude is very simple:
\[-(\frac{change\ of\ temp.}{change\ of\ altitude})\]

Answer 18

ok

Answer 19

so would it be -2?

Answer 20

Correct, -2 deg. Celsius / thousand feet.

Answer 21

thanks

Answer 22

You're welcome :)