## anonymous one year ago The table below represents the atmospheric temperature at a location as a function of the altitude:

1. anonymous

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.

2. anonymous

3. kropot72

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

4. anonymous

yes

5. anonymous

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

6. kropot72

What is the shape of your graph?

7. anonymous

The shape?

8. kropot72

Is the graph a curve for example?

9. anonymous

oh ok

10. anonymous

1 sec

11. anonymous

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

12. anonymous

plz help @kropot72

13. kropot72

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

14. anonymous

it is a diagonal line

15. anonymous

its stright

16. anonymous

17. anonymous

like this

18. kropot72

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: $-(\frac{change\ of\ temp.}{change\ of\ altitude})$

19. anonymous

ok

20. anonymous

so would it be -2?

21. kropot72

Correct, -2 deg. Celsius / thousand feet.

22. anonymous

thanks

23. kropot72

You're welcome :)