What is the constant rate of change of the ordered pairs?

x 1 3 5 7

y 2 10 18 26

Step-by-step explanation:

The constant rate of change of the ordered pairs can be termed as the slope.

Slope is expressed as m = Δy/Δx

m =

Using the coordinates when x₁ =1, y₁ = 2 and when x₂ = 3, y₂ = 10 according to the table.

Substituting this coordinates into the slope equation.

Hence the constant rate of change of the ordered pairs is 4

Note that no matter the value of the coordinates used, you will still get the same constant since they are directly proportional.

answer: 180

step-by-step explanation:

12-2=10

20-2=18

18x10=180

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."