the table shows the predicted growth of a particular bacterium after various numbers of hours.
write an explicit formula for the sequence of the number of bacterium.

Step-by-step explanation:

Which formula from the answer choices makes ALL the values given in the table to be TRUE?

Checking first formula:

So, all the values work for the first formula, hence the first answer choice is correct.

- "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."