<p><span style="font-size:20px;"><span style="color:#8e44ad;">Deductions from the Given Information</span></span></p>
<p>By drawing a new red line intersecting the origin and point $(3,4)$ (see diagram below), we can easily solve this problem.</p>
<p style="text-align: center;"><img alt="" src="https://gregmatapi.s3.amazonaws.com/media/misc/files/question4b.png" style="width: 200px; height: 182px;" /></p>
<p>We can calculate the slope of the red line because we know two points on that line, the origin $(0,0)$ and $(3,4)$.</p>
<p style="text-align: center;">$$slope = \frac{4-0}{3-0} = \frac{4}{3}$$</p>
<p><span style="font-size:20px;"><span style="color:#27ae60;">Solving the Problem</span></span></p>
<p>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 <strong>Quantity A</strong> larger than <strong>Quantity B</strong>, which is $1$.</p>
<p>Thus, we choose answer choice <strong><span style="color:#27ae60;">A, Quantity A is larger</span></strong>.</p>