H varies directly as L. If H = 30 when L=60, determine H when L= 40. a) Write the variation equation.
b) Determine the value of the quantity indicated.
a) Choose the correct answer below.
O A. H=L
k.
O B. L=
H
O C. H=kL
w
k k
OD. H=*
b) H= |(Type an integer or a decimal.)

i) The variation equation     H =  k L

ii) The value of H = 20

iii) C)  H = k L

Step-by-step explanation:

Step(i):-

Given that H varies directly as L

                    H ∝ L

                   H =  k L

Given that H =30 and L = 60

          ⇒   30 = k (60)

Step(ii):-

Given that L = 40

The variation of the equation = H = k L ...(i)

 put L = 40 in equation (i)

- "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."

he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140