Question

If s and t are variable , t is dependent upon s an d

2t 4s=3−6s,
which of the following is a correct function notation representation of the relationship between s and t?
a) f(s) =3/2-5s
b) f(t) =-5s +3/2
c) f(s) =5s + 3/2
d) f(s)=-5t+ 3/2

Answer 1

The correct function notation representation of the relationship between s and t is f(s) = (3 - 10s)/2.

Step-by-step explanation:

The given equation is 2t + 4s = 3 - 6s. We want to express t in terms of s, so we isolate t on one side of the equation.

First, subtract 4s from both sides to get 2t = 3 - 10s.

Then, divide both sides by 2 to solve for t. The correct function notation representation of the relationship between s and t is f(s) = (3 - 10s)/2.