Answer: The rabbit is hopping at 3 feet/ sec in speed
Step-by-step explanation:
Step 1
Let the The number of feet of the rabbit be expressed as N
AND time rabbit spends hopping can be expressed as t
From the question, The number of feet varies directly with the time rabbit spends hopping can be expressed as
N α t
Let us introduce a constant of proportionality ,S which represents speed in this case, we now have that
N = St
STEP 2 -- SOLVING
If the rabbit hop 6 feet in 2 seconds, Then speed =
N = St
6= S X2
S = 6/ 2
S = 3
also
If the rabbit hop 12 feet in 4 seconds, Then speed =
N = St
12= S X 4
S = 12/ 4
S = 3
Also recall
that Speed = Distance / time
Pluging the values in the first case,
speed = 6 feet/ 2 secconds = 3 feet/ seconds
in the second case
Speed= 12 feet/ 4 second s= 3 feet/ secs.
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