Question

the relationship between a distance in feet, y, and the same distance in yards, x, can be represented by the equation $y = 3x$.
find distances in feet and yards by filling in the table.

distance measured in yards, $x$

distance measured in feet, $y$

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1

$square$

3

$square$

$square$

21

$square$

30

Explanation:

Step1: Calculate y when x=1

Substitute $x=1$ into $y=3x$:
$y=3\times1=3$

Step2: Calculate y when x=3

Substitute $x=3$ into $y=3x$:
$y=3\times3=9$

Step3: Calculate x when y=21

Rearrange $y=3x$ to $x=\frac{y}{3}$, substitute $y=21$:
$x=\frac{21}{3}=7$

Step4: Calculate x when y=30

Use $x=\frac{y}{3}$, substitute $y=30$:
$x=\frac{30}{3}=10$

Answer:

Distance measured in yards, $x$	Distance measured in feet, $y$
3	9
7	21
10	30