Yea it is one rational experisson
Answer:
b = 16
Step-by-step explanation:
× stands for varies
a × √bc,
a = k√bc,
when a = 24, b = 8, c= 2
a = k√bc
24 = k√8•2
24 = k√16
24 = 4k
dividing both sides by 4
k = 24/4
k = 6
a = 6√bc (standard equation)
find b when a = 48 and c = 4
a = 6√bc
48 = 6√b•4
dividing both sides by 6
48/6 = √b•4
8 = √b•4
squaring both sides
8^2 = b•4
64 = b•4
b = 64/4
b= 16.
Thrrefore when a = 48, c = 4, b = 16.
It would reduce to 16:15
They both share 4 as a common factor. 4 goes into 64, 16 times and 4 goes into 60, 15 times. Therefore allowing 64:60 to reduce to 16:15
6/4= 1.5
8/4= 2
As you can see, this is a proportional relationship.
The scale factor is 4.
I hope this helps!
~kaikers
