Acertain plant grows 1 1/6 inches every week. how long will it take the plant to grow 6 1/6 inches

5 weeks 2 days

Step-by-step explanation:

A certain plant grows every week = = inches

1 week = 7 days

Therefore in 1 day the plant grows =

                                                         = inch

Now we have to calculate number of days in which the plant grows   inches ≈ inch

Number of days =

                           = ÷

                           =   × 6

                           = 37 days ≈ 5 weeks and 2 days

It will take the plant 5 weeks 2 days to grow inches.

- "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."