Which set of values could be from a direct proportion

First table

Step-by-step explanation:

We have to find the set of value which could be from a direct proportion.

We know that

Direct proportion :

When x is directly proportional to y

Where k=Proportionality constant

K remain constant when x and y are in direct proportion

From first table

When x and y are both varies then ratio of x and y remain constant.Hence, it is in direct proportion.

From second table

not ]define

It is not direct proportion because k does not remain constant.

From third table

It is not direct proportion because k does not remain constant.

so, converting firstly the mixed fractions to improper fractions and then "adding".

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116