Determine whether each table or graph represents a proportional
relationship. explain your reasoning.

Table 2 and  3 represent a proportional relationship because the ratio between two variables are equivalent.

Step-by-step explanation:

If variable y is proportional to variable x, then

where k is constant of proportionality.

For table 1,

Therefore, table 1 does not represents a proportional relationship.

Similarly

For table 2,

All ratios are equivalent, therefore Table 2 represents a proportional relationship.

For table 3,

All ratios are equivalent, therefore Table 3 represents a proportional relationship.

For table 4,

All ratios are not equivalent, therefore Table 4 does not represent a proportional relationship.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

honesty mood

step-by-step explanation: