Answer
Graph $G$
Work Step by Step
To determine which graph corresponds with the given equation, $t=4c$, substitute different values of $c$ and solve for the corresponding value of $t$. The resulting set of ordered pairs $(c,t)$ are points on the graph of the given equation.
Substituting $c=0$ in the given equation results in
$$\begin{aligned}
t&=4(0)
\\&=
0
.\end{aligned}
$$ Therefore, the point $(c,t)=(0,0)$ should be on the graph of the given equation. This makes Graph $H$ incorrect.
Substituting $c=1$ in the given equation results in
$$\begin{aligned}
t&=4(1)
\\&=
4
.\end{aligned}
$$ Therefore, the point $(c,t)=(1,4)$ should be on the graph of the given equation. This makes Graph $I$ incorrect.
Substituting $c=2$ in the given equation results in
$$\begin{aligned}
t&=4(2)
\\&=
4
.\end{aligned}
$$ Therefore, the point $(c,t)=(2,8)$ should be on the graph of the given equation. This makes Graph $F$ incorrect.
Hence, the graph which correctly displays the relationship $t=4c$ is Graph $G$.
