Question

do you know how?
in 4–6, use the equation $d = 4t$.

1. complete the table.

$d = $ distance
$t = $ time

1. name four ordered pairs found

on the line plotted using this
equation.

1. describe the relationship between the variables.

$d = 4t$

$t$	$d$
2
3

Explanation:

Step1: Calculate d for t=1

Substitute $t=1$ into $d=4t$:
$d=4\times1=4$

Step2: Calculate d for t=2

Substitute $t=2$ into $d=4t$:
$d=4\times2=8$

Step3: Calculate d for t=3

Substitute $t=3$ into $d=4t$:
$d=4\times3=12$

Step4: Identify ordered pairs

Ordered pairs are in $(t, d)$ form. Use calculated values and add (0,0) (since when $t=0$, $d=4\times0=0$).

Step5: Describe variable relationship

Analyze how d changes with t.

Answer:

For Question 4 (Completed Table):

$t$	$d$
2	8
3	12

For Question 5 (Ordered Pairs):

$(0, 0)$, $(1, 4)$, $(2, 8)$, $(3, 12)$

For Question 6 (Variable Relationship):

Distance $d$ is directly proportional to time $t$, where $d$ equals 4 times the value of $t$ (distance increases by 4 units for every 1 unit increase in time).