Posted by **brianna mattson** on Sunday, October 2, 2011 at 8:46pm.

If the average rate of change of g(x) from x = 7 to x = 10 is -80, and if g(7) = 400, then find g(10).

- college algebra -
**Katharine**, Sunday, October 2, 2011 at 9:19pm
g(10)=460

- college algebra -
**Katharine**, Sunday, October 2, 2011 at 9:30pm
using y=mx+b

m= -80

substitute the info given, g(7)=400

400 = -80(7) + b

b=960

substitute m & b into the equation;

g(x)= -80x + 960

substitute g(10) into the new equation

g(10)= -80(10)+960

g(10)= 160

SORRY, ABOUT THE LAST POST :)

- college algebra -
**Reiny**, Sunday, October 2, 2011 at 9:42pm
So you have 2 points, (7,400) and (10-7) = -80

,y) where the slope = -80

(y-400)/(10-7) = -80

y-400 = -240

y = 160 , or g(10) = -240

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