Deductions from the Given Information

By drawing a new red line intersecting the origin and point $(3,4)$ (see diagram below), we can easily solve this problem.

We can calculate the slope of the red line because we know two points on that line, the origin $(0,0)$ and $(3,4)$.

$$slope = \frac{4-0}{3-0} = \frac{4}{3}$$

Solving the Problem

We notice that line $k$ is also intersecting the origin and is at a steeper angle than the red line we drew, so we can conclude that the slope of line $k$ is greater than $\frac{4}{3}$, which of course would make Quantity A larger than Quantity B, which is $1$.

Thus, we choose answer choice A, Quantity A is larger.