Which equation(s)
represents a proportional
relationship?
A) y = 7x?
B) y = 2 + 3x
C) y = Vzx
D) y = 5 - X

 A) y = 7x

Step-by-step explanation:

In order to be a proportional relationship, the equation MUST pass through the origin (0, 0) and only contain two coordinates

A) 0 = 7(0)      --->        0 = 0 TRUE

B) 0 = 2 + 3(0) --->       0 = 2 False

C) 0 = Vz(0)    --->        Too many variables so False

D) 0 = 5 - 0    --->         0 = 5 False

A, B and D

Step-by-step explanation:

What do you define as proportionality it refers to a relationship; now this relationship is defined as either directly proportional or inversely proportional.

Now take case A; y is directly proportional to X - we say y varies as X varies in a progressive or retrogressive manner .The 7 serves as a constant which comes in handy when ever an equality is been introduced to an item of proportionality.

Also in case B,

As X changes y changes- x is the sole determinant of this y and hence as X increases or decreases y does so likewise.

D ; y decreases as X increases and y increases as X decrease; here the relationship of proportionality is converse . When the graph of D is plotted using any testing values we see that the graph cuts the y axis at 5 and the X axis at 5.

shell's the art director at her local community center. she paid $10 and for each child that attends she earns $4.

for each child she ears $4 that is the slope m = 4

she paid $10, that is the initial amount paid. so 10 is the y intercept b

m =4   and b = 10

y intercept is 10 so the point is (0,10)

we start graph from y intercept (0,10)

slope = 4 . we know slope = rise / run

slope = 4   or 4/1   are same

rise = 4   and run = 1

for rise we move 4 units up and for run we move 1 unit to the right

the graph is attached below

x axis is the number of child she attends

y axis is the amount   she earns