Which graph shows a proportional relationship in which the value of y is one-half of the value of x?

The graph is shown below.

Step-by-step explanation:

Given:

The relationship between the variables 'x' and 'y' is proportional relationship.

A proportional relationship is of the form:

Where 'm' is called the constant of proportionality and also the slope of the line

Now, it is given that 'y' is one-half of the value of 'x'. Framing it in equation form, we get:

So, the slope of the line is

Slope is nothing but rise over run. Run is parallel the x-axis and rise is parallel to the y-axis.

Now, a proportional relationship always passes through the origin.

So, in order to get slope equal to one-half, we need to move 2 units along the x-axis from the origin and then 1 unit parallel to y-axis to get to the next point. The point is (2, 1).

Now, we draw a line passing through the origin and (2, 1) which is the required of the given proportional relationship.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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