Question

1. which ordered pair would you use to plot the y-intercept of the linear function f(t) = -2t + 18? (-2, 0) (-2, 18) (18, -20) (0, 18)

Explanation:

Step1: Recall y-intercept definition

The y-intercept of a function \( f(t) \) (where \( t \) is the independent variable, similar to \( x \) in \( y = mx + b \)) occurs where the independent variable \( t = 0 \).

Step2: Substitute \( t = 0 \) into \( f(t) \)

Given \( f(t)=-2t + 18 \), substitute \( t = 0 \):
\( f(0)=-2(0)+18 = 18 \).

Step3: Form ordered pair

The independent variable \( t \) is like the \( x \)-coordinate, and \( f(t) \) is like the \( y \)-coordinate. So when \( t = 0 \), \( f(t)=18 \), giving the ordered pair \( (0, 18) \).

Answer:

\( (0, 18) \)