SAT Reasoning Test -> Math Problem

<p>Hey,</p>

<p>I wondered about a question of CB’s official study guide.</p>

<p>It’s question 12, section 3 (1st practice test):</p>

<p>x::f(x)
:::::::
0::a
1::24
2::b</p>

<li>
The table above shows some values for the function f.
If f is a linear function, what is the value of a+b.</li>
</ol>

<p>(A) 24
(B) 36
(C) 48
(D) 72
(E) It cannot be determined from the information given.</p>

<p>The correct solution is (C). This means that f(0)+f(2) = 48. I guess, CB assumes that the equation of f is: f(x) = 24x</p>

<p>But in my opinion, answer (E) should be correct, since the equation of a linear function is: f(x) = mx + c</p>

<p>(We don’t know the constant c)</p>

<p>Can someone explain this to me?</p>

<p>Thanks in advance!</p>

<p><a href="http://talk.collegeconfidential.com/showthread.php?t=112708%5B/url%5D"&gt;http://talk.collegeconfidential.com/showthread.php?t=112708&lt;/a&gt;&lt;/p>

<p>Thanks!</p>

<p>Too bad, I hoped we could sue ETS ;)</p>