Question

Let y = xv and show that the equation in part a can be written as?

Answer 1

To show that the equation y = xv can be written as y = ax + bx², we substitute the values of y and x into the equation and simplify.

Step-by-step explanation:

The equation given is y = xv. To show that this equation can be written in the form y = ax + bx², we need to substitute the values of y and x into the equation. Let's start by multiplying both sides of the equation by x to eliminate the fraction:

x(y) = x(xv)

Next, distribute x on the right-hand side:

xy = x²v

Now, we can rewrite this equation in the form y = ax + bx² by setting a = v and b = 0:

y = vx + 0x²

This equation represents a linear function with a slope v and a y-intercept of 0, which is equivalent to the general form y = ax + bx².