If you're given two different numbers on a number line, what can you say for certain about the number that's farther to the right?

a. it's larger than the number to its left.
b. it's a positive number.
c. it carries a negative sign.
d. it's greater than zero.

A. It's larger than the number to its left.

Step-by-step explanation:

If you're given two different numbers on a number line, what can you say for certain about the number that's farther to the right?

A. It's larger than the number to its left. YES

B. It's a positive number.  NO. For instance, -2 is to the right of -3 and it is a negative number.

C. It carries a negative sign.  NO. For instance, 3 is to the right of 2 and it carries a positive sign.

D. It's greater than zero. NO. For instance, -2 is to the right of -3 and it is less than zero.

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- "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."