For the linear function

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

For the linear function f(x)=kx+mf(x)=kx+m, the average value on [1,3][1,3] is 55 and k−m=1k-m=1. Which ordered pair (k,m)(k,m) satisfies both conditions? (a) (76,  16)\left(\dfrac76,\;\dfrac16\right) (b) (3,2)(3,2) (c) (2,1)(2,1) (d) (65,  15)\left(\dfrac65,\;\dfrac15\right)

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