## anonymous one year ago I medal! :> In order for the data in the table to represent a linear function with a rate of change of –8, what must be the value of m? m = 2 m = 3 m = 19 m = 35

1. anonymous

2. jim_thompson5910

We have three points: (10,27), (11,m), (12,11) Let's pick two of them, say (10,27) & (11,m)

3. jim_thompson5910

You plug those coordinates into the slope formula $\Large Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ $\Large Slope = \frac{m-27}{11-10}$ replace "slope" with -8 because this is what we want the slope to be $\Large -8 = \frac{m-27}{11-10}$ from here you solve for m

4. jim_thompson5910

I'll let you do this part. Tell me what you get

5. anonymous

m=19 Can you help me with more? @jim_thompson5910

6. jim_thompson5910

m = 19 is correct

7. jim_thompson5910

sure I can help

8. anonymous

Ellen makes and sells bookmarks. She graphs the number of bookmarks sold compared to the total money earned. What is the rate of change for the function graphed to the left? 2/5 5/4 5/3 5/2

9. jim_thompson5910

you'll use the slope formula again you can pick two points, say (4,0) and (8,10)

10. jim_thompson5910

(x1,y1) = (4,0) x1 = 4 y1 = 0 -------------- (x2,y2) = (8,10) x2 = 8 y2 = 10

11. anonymous

okay I'm using it now

12. anonymous

@jim_thompson5910 I got -10... bur I think I messed up >.<

13. jim_thompson5910

what is y2 - y1 equal to?

14. anonymous

10

15. jim_thompson5910

16. anonymous

2/5 .. is that the answer >.<

17. jim_thompson5910

you got it flipped

18. jim_thompson5910

the y difference goes over the x difference

19. jim_thompson5910

10/4 = 5/2

20. anonymous

Ohhh okay thank you

21. jim_thompson5910

np