Problem

Use the displayed table to determine the linear and exponential models, compare their values at every listed input, and locate the crossing bracket and first listed integer where the exponential model overtakes the linear model.

Comparison table with rows x=0: L=100, E=10; x=1: L=120, E=30; x=2: L=140, E=90; x=3: L=160, E=270.

Answer choices

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models = L(x)=100+20x and E(x)=10·3ˣ; comparisons = L>E at x=0,1,2; E>L at x=3; crossing bracket = between x=2 where 140>90 and x=3 where 270>160; first listed integer overtake = x=3

models = L(x)=20x+100 and E(x)=3·10ˣ; comparisons = L>E at x=0,1,2; E>L at x=3; crossing bracket = between x=2 and x=3; first listed integer overtake = x=3

models = L(x)=100+20x and E(x)=10·3ˣ; comparisons = L>E at x=0,1,2,3; E>L at x=4; crossing bracket = between x=3 and x=4; first listed integer overtake = x=4 because 270 is the fourth listed value

models = L(x)=100+20x and E(x)=10·3ˣ; comparisons = L>E at x=0,1; E>L at x=2,3; crossing bracket = between x=1 and x=2; first listed integer overtake = x=2

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Use the displayed table to determine the linear and exponential models, compare their values at every listed input, and locate the crossing bracket and first listed integer where the exponential model overtakes the linear model.

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