## The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: What is the youngest age for which the average income of a lawyer is $450,000? Round to the nearest year.

October 13, 2019// Blog//

**Answer:**

“The question cannot be answered without knowing the scale factor.”

**Step-by-step explanation:**

__The complete question:__

*A dilation centered at the origin is applied to the line y = 3x + 5. What is true about the image of the line?*

*It is the same line.*

It is another line parallel to y = 3x + 5.

The image is not a line.

The question cannot be answered without knowing the scale factor.

A dilation, center at origin, with a scale factor of “k”, will have a rule:

(x,y) = (kx,ky)

This basically means that the image after dilation will have the points kx and ky respectively.

If k ≠ 1, this means the image is parallel to the line y = 3x + 5

If k = 1, this means the image is same, it coincides with the line y = 3x + 5

*Thus, the scale factor is really important and we can’t say anything about this dilation since scale factor isn’t known.*