Problem

Analyze the pattern in the displayed table. Use differences or ratios to classify the relationship, write its equation, and describe the graph's shape and end behavior.

Value table with points (0, 16), (1, 8), (2, 4), and (3, 2); no ratios, equation, or graph classification are supplied.

Answer choices

Choose your path.

Preview only

The first differences are −8, −4, and −2, so the pattern is linear. It starts at 16 with slope −8: y=16−8x. Its graph is a decreasing line.

The output ratios are 2, 2, and 2, so the pattern is exponential growth. It starts at 16 with growth factor 2: y=16·2ˣ. Its graph increases.

The output ratios are 1/2, 1/2, and 1/2, so the pattern is exponential. It starts at 1/2 with growth factor 16: y=(1/2)·16ˣ. Its graph increases.

The output ratios are 1/2, 1/2, and 1/2, so the pattern is exponential decay. It starts at 16 with decay factor 1/2: y=16(1/2)ˣ. Its graph decreases toward 0.

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

Analyze the pattern in the displayed table. Use differences or ratios to classify the relationship, write its equation, and describe the graph's shape and end behavior.

Turn the preview into practice.

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