X Y
15 N
18 8 1/3
24 6 1 / 4
The table above represents an iverse vartiation. What is the value of N?
a) 15
b) 10
c) 12 1 /2
d) 5 1 /2
for an inverse relation
y = k/x , where k is a constant
or
k = xy
using (18, 25/3)
k = 18(25/3) = 150
so y = 150/x
when x = 15
y or N = 150/15 = 10
check for third point, (24, 25/4)
Left side = y = 25/4
Right side = 150/(24) = 25/4
everything checks out.
I DON'T GET WHAT YOU MEAN REINY BUT THE ANSWER I PICKED WAS B
correct,
isn't that the answer I obtained ?
Look at the 5th last line
the rest is merely proving my answer is correct.
thanks you Reiny i think i read it wrong im truly sorry
To find the value of N in an inverse variation, we can use the formula:
X * Y = k
where X and Y are the corresponding values in the table, and k is a constant value.
Let's plug in the values from the table:
15 * N = k
18 * (8 1/3) = k
24 * (6 1/4) = k
We need to find the value of N, so we can use any two rows from the table to solve for k.
Let's use the first and second rows:
15 * N = 18 * (8 1/3)
To solve for N, we can divide both sides of the equation by 15:
N = (18 * (8 1/3)) / 15
Now, let's simplify the right side of the equation:
N = (18 * (25/3)) / 15
N = (18 * 25) / (3 * 15)
N = 450 / 45
N = 10
Therefore, the value of N is 10.
So the correct option is b) 10.