Find the equation of a line parallel to 2y = 3(x − 2) and passing through the point (2, 3).

First, rewrite the given equation in slope-intercept form ($y = mx + c$).

Divide by 2:

The slope of this line is $m_1 = \frac{3}{2}$.

Since the new line is parallel to the given line, their slopes are equal.
So, the slope of the new line is $m_2 = \frac{3}{2}$.

The new line passes through $(x_1, y_1) = (2, 3)$ and has a slope $m = \frac{3}{2}$.
The point-slope form is $y - y_1 = m(x - x_1)$.

Add 3 to both sides:

The calculated equation matches option C.

The final answer is $\boxed{\text{C. } y = \frac{3}{2}x}$.

A rational expression is undefined when its denominator is equal to zero.

The denominator is $6x(x+1)$.

For this product to be zero, at least one of the factors must be zero.

Case 1: Set the first factor to zero.

Case 2: Set the second factor to zero.

The expression is undefined when $x = 0$ or $x = -1$.
The set of values is $\{0, -1\}$.

The calculated set matches option B.

The final answer is $\boxed{\text{B. } \{0, -1\}}$.

Son's current age = $y$
Man's current age = $5y$

Son's age in four years = $y + 4$
Man's age in four years = $5y + 4$

Product of their ages in four years = $(y + 4)(5y + 4)$

The product of their ages in terms of $y$ is $5y^2 + 24y + 16$. This expression is equal to 340 according to the problem statement.

The final answer is $\boxed{5y^2 + 24y + 16}$.