college algebra

posted by brianna mattson

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).

1. Katharine

g(10)=460

2. Katharine

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 :)

3. Reiny

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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