Difference between revisions of "1950 AHSME Problems/Problem 17"
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− | == Problem== | + | == Problem == |
The formula which expresses the relationship between <math>x</math> and <math>y</math> as shown in the accompanying table is: | The formula which expresses the relationship between <math>x</math> and <math>y</math> as shown in the accompanying table is: | ||
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<math> \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} </math> | <math> \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} </math> | ||
− | ==Solution== | + | == Solution == |
− | Plug in the points <math>(0,100)</math> and <math>(4,0)</math> into each equation. The only one that works for both points is <math>\mathrm{(C)}.</math> Plug in the rest of the points to confirm the answer is indeed <math>\boxed{\mathrm{(C)}\ y=100-5x-5x^2 | + | Plug in the points <math>(0,100)</math> and <math>(4,0)</math> into each equation. The only one that works for both points is <math>\mathrm{(C)}.</math> Plug in the rest of the points to confirm the answer is indeed <math>\boxed{\mathrm{(C)}\ y=100-5x-5x^2}</math>. |
− | ==See Also== | + | == See Also == |
− | {{AHSME box|year=1950|num-b=16|num-a=18}} | + | {{AHSME 50p box|year=1950|num-b=16|num-a=18}} |
[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
+ | {{MAA Notice}} |
Latest revision as of 23:51, 11 October 2020
Problem
The formula which expresses the relationship between and as shown in the accompanying table is:
Solution
Plug in the points and into each equation. The only one that works for both points is Plug in the rest of the points to confirm the answer is indeed .
See Also
1950 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 16 |
Followed by Problem 18 | |
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