Difference between revisions of "1950 AHSME Problems/Problem 17"

(Created page with "== Problem== The formula which expresses the relationship between <math>x</math> and <math>y</math> as shown in the accompanying table is: <cmath> \begin{tabular}[t]{|c|c|c|c|c...")
 
m
Line 14: Line 14:
  
 
{{AHSME box|year=1950|num-b=16|num-a=18}}
 
{{AHSME box|year=1950|num-b=16|num-a=18}}
 +
 +
[[Category:Introductory Algebra Problems]]

Revision as of 14:23, 17 April 2012

Problem

The formula which expresses the relationship between $x$ and $y$ as shown in the accompanying table is:

\[\begin{tabular}[t]{|c|c|c|c|c|c|}\hline x&0&1&2&3&4\\\hline y&100&90&70&40&0\\\hline\end{tabular}\]

$\textbf{(A)}\ y=100-10x\qquad\textbf{(B)}\ y=100-5x^{2}\qquad\textbf{(C)}\ y=100-5x-5x^{2}\qquad\\ \textbf{(D)}\ y=20-x-x^{2}\qquad\textbf{(E)}\ \text{None of these}$

Solution

Plug in the points $(0,100)$ and $(4,0)$ into each equation. The only one that works for both points is $\mathrm{(C)}.$ Plug in the rest of the points to confirm the answer is indeed $\boxed{\mathrm{(C)}\ y=100-5x-5x^2.}$

See Also

1950 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 16
Followed by
Problem 18
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
All AHSME Problems and Solutions