Suppose z varies inversely with t and that z=16 when t=12. What is the value of z when t=4 ?
z * t = k ... 16 * 12 = 192
z * 4 = 192
Your 3 posts are all the same, I will do this one
"z varies inversely with t" ----> z = k(1/t) or z = k/t
given: z=16 when t=12
16 = k/12
k = 12(16) = 192
So z = 192/t
when t = 4
z = 192/4 = 48
To find the value of z when t=4, we can use the inverse variation equation. The general equation for inverse variation can be written as:
z = k/t
where k is the constant of variation. To find the value of k, we can use the given information that z=16 when t=12:
16 = k/12
To solve for k, we can multiply both sides of the equation by 12:
16 * 12 = k
k = 192
Now that we know the constant of variation, we can use it to find z when t=4:
z = k/t
z = 192/4
z = 48
Therefore, when t=4, the value of z is 48.