Final answer:
When x=156 and given the ratio x to y is equivalent to 12 to t, the value of y in terms of t is 13t, found by setting up a proportion and solving for y.
Step-by-step explanation:
To solve for the value of y when x=156 and given the ratio x to y is equivalent to the ratio 12 to t, begin by setting up a proportion as follows:
x/y = 12/t
With x equalling 156, the proportion becomes:
156/y = 12/t
Now, cross-multiply to find an expression for y:
(156)(t) = (12)(y)
Solve for y to get:
y = (156 * t) / 12
Simplify the expression by dividing both 156 and 12 by their greatest common divisor, which is 12:
y = (13 * t)
Thus, when x=156, the value of y in terms of t is 13 times t.