Question

what is the rate of change?

1 - 21
3 -15
6 - 6
7 - 3

Answer 1

[AI-generated answer — Bot GPT 3.5]

The rate of change in this scenario varies.

From 1 to 3, the rate of change is -2.
From 3 to 6, the rate of change is -3.
From 6 to 7, the rate of change is -1.

So the rate of change is not constant and varies between each pair of numbers.

Answer 2

the pairs are vertical to each other not horizontal.

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion. To calculate the rate of change in this specific context where the pairs are vertical to each other, we can consider the change in the y-values divided by the change in the x-values.

From (1, 21) to (3, 15):
Rate of change = (15-21) / (3-1) = -6 / 2 = -3

From (3, 15) to (6, 6):
Rate of change = (6-15) / (6-3) = -9 / 3 = -3

From (6, 6) to (7, 3):
Rate of change = (3-6) / (7-6) = -3 / 1 = -3

Therefore, the rate of change in all cases is -3. The rate of change is constant in this context.

Answer 4

What is the rate of change?

5 - 20
7 - 28
11 - 44
14 - 56

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the rate of change between each pair of numbers, we can calculate the change in the y-values divided by the change in the x-values.

From (5, 20) to (7, 28):
Rate of change = (28-20) / (7-5) = 8 / 2 = 4

From (7, 28) to (11, 44):
Rate of change = (44-28) / (11-7) = 16 / 4 = 4

From (11, 44) to (14, 56):
Rate of change = (56-44) / (14-11) = 12 / 3 = 4

Therefore, the rate of change between each pair of numbers is 4. The rate of change is constant in this case.

Answer 6

what is the rate of change?

(-3,5) - (9,-5)

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the rate of change between the points (-3, 5) and (9, -5), we can calculate the change in the y-values divided by the change in the x-values.

Rate of change = (y2 - y1) / (x2 - x1)
= (-5 - 5) / (9 - (-3))
= (-10) / 12
= -10 / 12
= -5 / 6

Therefore, the rate of change between the points (-3, 5) and (9, -5) is -5/6.

Answer 8

what is the rate of change?

(0,50)
(1,150)
(2,250)
(3,350)
(4,450)

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the rate of change in this scenario, we will calculate the rate of change between consecutive points.

From (0, 50) to (1, 150):
Rate of change = (150 - 50) / (1 - 0) = 100

From (1, 150) to (2, 250):
Rate of change = (250 - 150) / (2 - 1) = 100

From (2, 250) to (3, 350):
Rate of change = (350 - 250) / (3 - 2) = 100

From (3, 350) to (4, 450):
Rate of change = (450 - 350) / (4 - 3) = 100

Therefore, the rate of change between each pair of consecutive points is 100. The rate of change is constant in this case.

Answer 10

What is the rate of change?

y=3.75+1.5(x-1)

Answer 11

[AI-generated answer — Bot GPT 3.5]

The given equation is in slope-intercept form: y = mx + b, where m is the slope of the line and b is the y-intercept.

Comparing the given equation y = 3.75 + 1.5(x-1) to the slope-intercept form, we can see that the equation represents a line with a slope of 1.5 and a y-intercept of 3.75.

Therefore, the rate of change for this equation is 1.5. This means that for every unit increase in x (independent variable), the dependent variable y increases by 1.5 units.