Analyze Graphs and Patterns

Between which two times was the greatest increase in number of shoppers?

• 12pm and 1pm

• 1pm and 2pm

• 2pm and 3pm

• 10am and 11am

Compare the patterns: Pattern A: 3, 6, 9, 12 and Pattern B: 4, 8, 12, 16. Which pattern grows faster?

• Pattern A

• Pattern B

• Both grow at the same rate

• Cannot be determined

Answer explanation

Pattern A increases by 3 each time (3, 6, 9, 12), while Pattern B increases by 4 (4, 8, 12, 16). Since Pattern B has a larger increment, it grows faster than Pattern A.

Interpret the data from the graph: If the graph shows a line passing through points (0, 0) and (2, 4), what is the slope of the line?

• 1

• 2

• 3

• 4

Answer explanation

To find the slope of the line passing through points (0, 0) and (2, 4), use the formula: slope = (y2 - y1) / (x2 - x1). Here, (x1, y1) = (0, 0) and (x2, y2) = (2, 4). Thus, slope = (4 - 0) / (2 - 0) = 4 / 2 = 2.

Interpret the data from the graph: If the graph shows a line passing through points (1, 2) and (3, 6), what is the slope of the line?

• 1

• 2

• 3

• 4

Answer explanation

To find the slope, use the formula (y2 - y1) / (x2 - x1). Here, (x1, y1) = (1, 2) and (x2, y2) = (3, 6). So, slope = (6 - 2) / (3 - 1) = 4 / 2 = 2. Thus, the correct answer is 2.

Identify the pattern in the sequence: 5, 10, 20, 40, 80. What is the rule for this pattern?

• Add 5, 10, 20, 40

• Multiply by 2

• Multiply by 3

• Subtract 5, 10, 20, 40

Answer explanation

The sequence doubles each number: 5 x 2 = 10, 10 x 2 = 20, 20 x 2 = 40, and 40 x 2 = 80. Therefore, the rule for this pattern is to multiply by 2.

Interpret the data from the graph: If the graph shows a line passing through points (2, 3) and (4, 7), what is the slope of the line?

• 1

• 2

• 3

• 4

Answer explanation

To find the slope (m) of the line through points (2, 3) and (4, 7), use the formula m = (y2 - y1) / (x2 - x1). Here, m = (7 - 3) / (4 - 2) = 4 / 2 = 2. Thus, the slope is 2.

Compare the patterns: Pattern A: 5, 10, 15, 20 and Pattern B: 6, 12, 18, 24. Which pattern grows faster?

• Pattern B

• Pattern A

• Cannot be determined

• Both grow at the same rate

Identify the pattern in the sequence: 2, 4, 6, 8, 10. What is the rule for this pattern?

• Add 1

• Add 2

• Multiply by 2

• Subtract 2

Answer explanation

The sequence increases by 2 each time: 2 + 2 = 4, 4 + 2 = 6, 6 + 2 = 8, and 8 + 2 = 10. Therefore, the rule for this pattern is to add 2.

• 5

• 6

• 7

• 8

Answer explanation

To find the value of y when x = 3, substitute 3 into the equation y = 2x + 1: y = 2(3) + 1 = 6 + 1 = 7. Therefore, the correct answer is 7.

What is the next number in the pattern: 7, 14, 21, 28, ___?

• 30

• 32

• 35

• 40

Answer explanation

The pattern increases by 7 each time: 7 + 7 = 14, 14 + 7 = 21, 21 + 7 = 28. Continuing this, 28 + 7 = 35. Therefore, the next number is 35.