Problem

Use the displayed table to determine equations for \(Q\) and \(E\), compare the models at the shown inputs, extend the comparison through \(x=5\) and \(x=6\), and locate the overtake bracket and first listed integer overtake.

Comparison table with rows x=0: Q=10, E=3; x=1: Q=19, E=6; x=2: Q=34, E=12; x=3: Q=55, E=24; x=4: Q=82, E=48.

Answer choices

Choose your path.

Preview only

models = Q(x)=3x²+6x+10 and E(x)=2·3ˣ; shown = Q>E for x=0 through 4; x=5 = E(5)=486>Q(5)=115; x=6 = E(6)=1458>Q(6)=154; overtake bracket = between 4 and 5; first listed integer overtake = x=5

models = Q(x)=3x²+6x+10 and E(x)=3·2ˣ; shown = Q>E for x=0 through 4; x=5 = Q(5)=115>E(5)=96; x=6 = E(6)=192>Q(6)=154; overtake bracket = between 5 and 6; first listed integer overtake = x=6

models = Q(x)=3x²+10 and E(x)=3·2ˣ; shown = Q>E for x=0 through 4; x=5 = Q(5)=85>E(5)=96; x=6 = E(6)=192>Q(6)=118; overtake bracket = between 4 and 5; first listed integer overtake = x=5

models = Q(x)=3x²+6x+10 and E(x)=3·2ˣ; shown = Q>E for x=0 through 4; x=5 = E(5)=96>Q(5)=115; x=6 = E(6)=192>Q(6)=154; overtake bracket = between 4 and 5; first listed integer overtake = x=5

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Use the displayed table to determine equations for \(Q\) and \(E\), compare the models at the shown inputs, extend the comparison through \(x=5\) and \(x=6\), and locate the overtake bracket and first listed integer overtake.

Turn the preview into practice.

Gozunta lets you study this problem—and more than 10,000 others.