Question

A teacher collects data on the number of hours, s, his students spend studying and the number of hours, t, they spend watching TV each day. He finds that there is a negative linear association between s and t that is best modeled by the equation s=−0.5t+3.6 . What is the meaning of 3.6 in this equation?

Answer 1

negative linear association is like inverse variation or a negative slope

we got

s=-0.5t+3.6
3.6 is the value of s when t=0
that means when they spent 0 hours watching tv, they spend 3.6 hours doing homework

that could mean that they have 3.6 free hours to do homework or watch tv