Compare Slopes of Two Functions

Answer explanation

The correct choice is that y=\frac{1}{2}x is LESS STEEP than y=x because the slope of y=\frac{1}{2}x is smaller than the slope of y=x.

Function A is represented by the equation y = 4x - 2. Function B is represented by the table.
Which of these functions has the greater rate of change?

• Function A. It's rate of change is -2.

• Function A. It's rate of change is 4.

• Function B. It's rate of change is 2.

• Function B. It's rate of change is 6.

Which function has the greater slope?

• The slope of Function A is greater than the slope of Function B.

• The slope of Functions A is less than the slope of Function B.

Which statement is correct?

• Line A is steeper than line B

• Both lines have a slope of 5

• Line B has a slope of 3 and line A has a slope of 2

• Both the slopes will be negative

Compare the rates of change. Which statement is true about the growth of trees A, B, and C?

• They have the same rate of change.

• Tree B has the greatest rate of change.

• Tree A has a negative rate of change, while Tree B and C have positive rates of change.

• Tree C was the tallest when it was planted.

• Tree A was the tallest at 2 months.

Which kitten grows fastest? What is it's rate of change (slope)?

• Kitten A with a rate of change of 3

• Kitten B with a rate of change of 4

• Kitten A with a rate of change of 4

• Kitten B with a rate of change of 3

Identify the line less steep than:

y = 3x + 8

• y = 5x + 8

• y = 3x + 5

• y = -3x + 6

• y = 2x + 7

Jude observes two small plants in a garden. He records the growth of Plant 1 over several days and plots points (0,3.5), (1,7) (2,10.5) . He also determines that the function y = 2 + 2.5x represents the height y (in centimeters) of Plant 2 over x days. Which statement correctly compares the growth of the plants?

• Plant 2 grows faster than Plant 1.

• Plant 1 grows faster than Plant 2.

• Plant 2 grows faster than Plant 1 at first, but Plant 1 starts to grow faster after some time.

• The two plants grow at the same rate.

Who saves more per day: Adam or Bianca?

• They save the same amount.

• Adam

• Bianca