Question

complete the table with the missing values, given the constant of proportionality is 7

Explanation:

Step1: Recall the direct - proportion formula

The formula for direct proportion is $y = kx$, where $k$ is the constant of proportionality. Here $k = 7$.

Step2: Find the value of $y$ when $x = 12$

Substitute $x = 12$ into $y=kx$. So $y=7\times12 = 84$.

Step3: Find the value of $x$ when $y = 77$

Since $y = kx$, then $x=\frac{y}{k}$. Substitute $y = 77$ and $k = 7$, we get $x=\frac{77}{7}=11$.

Step4: Find the value of $x$ when $y = 56$

Using $x=\frac{y}{k}$, substitute $y = 56$ and $k = 7$. So $x=\frac{56}{7}=8$.

Step5: Find the value of $y$ when $x = 5$

Substitute $x = 5$ into $y = kx$. Then $y=7\times5 = 35$.

Step6: Find the value of $y$ when $x = 3$

Substitute $x = 3$ into $y = kx$. So $y=7\times3=21$.

Step7: Find the value of $x$ when $y = 0$

Using $x=\frac{y}{k}$, substitute $y = 0$ and $k = 7$. We get $x=\frac{0}{7}=0$.

Answer:

$x$	$y$
11	77
8	56
5	35
3	21
0	0