If X varies inversely with Y and X=8 when Y= 10, find Y when X=6
Answer choices are
A: y= 3/20
B: y= 4.8
C: y= 7.5
D: y= 40/3
Inversely means they're on opposite sides of the fraction (meaning one is the numerator, one is the denominator). So:
8/10 = 6/Y
8Y = 60
Y = 60/8 = 7.5
The answer is C.
Anonymous:
Your answer is INCORRECT.
The correct formula is:
k=xy
k= 8*10
k=80
y=80/x
y=80/6
simplify the fraction to y=40/3.
I am a homeschool teacher.
To find the value of Y when X is equal to 6, we can use the inverse variation formula, which states that X * Y = k, where k is a constant.
Given that X varies inversely with Y, we can write this as:
X * Y = k
From the information provided, we know that X = 8 when Y = 10. Plugging these values into the equation, we can solve for k:
8 * 10 = k
k = 80
Now that we have the value of k, we can find Y when X = 6 by rearranging the formula:
X * Y = k
6 * Y = 80
Y = 80 / 6
Y = 40/3
Therefore, the answer is y = 40/3.
Hence, the correct answer choice is D: y = 40/3.