Inversely proportional

Question

The variable  is inversely proportional to . When  is 16,  has the value 0.9375.

What is the value of  when  23?

Answer 1

Z is inversely proportional to x. This means we can write z = C * (1/x) where C is some constant. We can then plug in values to solve for C. We plug in z = 0.9375 and x = 16 to get 0.9375 = C / 16. Solving this equation by multiplying both sides by 16, we get that C = 15. Plugging this into our first equation we get z = 15 / x. To get the value of z when x = 23, we can plug in 23 for x and we get z = 15 / 23. This give us the value z = 0.65.

Therefore when x = 23, z = 0.65.

Hope this helps! Let me know if I need to explain anything.

Answer 2

Inversely proportional means when X increases, Y decreases and vice versa. X doubles, Y halves; it means X times Y always equals the same number.

XY = .9375 * 16 = 15

XY = 15

Y changes to 23

X*23 = 15

X = 15/23

X = ~.6521

Answer 3

16(.9375) = x

x = 15

23y = 15

y = 15/23 = 0.65217391304

I'm nit really sure that I understand the problem as the manner in which you have typed it is incomplete and grammatically confusing. If you retype the question in full and exactly, I can reconsider it.