Which of the following represents a dilation?

a. image in a lake
b. rolling bicycle wheel
c. rearranging furniture in a room
d. model airplane

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Option: D is the correct answer.

        D.   Model Airplane.

Step-by-step explanation:

Dilation--

Dilation is a process of resizing something. It is just a transformation that changes the size of a  figure by some specific rule.

The factor by which our figure changes is known as a scale factor.

If scale factor is strictly less than 1 then the figure is shrinked and if the scale factor is strictly greater than 1 then the figure is expanded of its original figure and if it is equal to 1 then it is of the same size.

Hence, when we model a airplane we have to make a smaller figure as compared to the original airplane.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .