Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 1 - Foundations for Algebra - 1-9 Patterns, Equations, and Graphs - Practice and Problem-Solving Exercises: 19

Answer

$y=\frac{1}{3}x$
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Work Step by Step

Let x be the number of sides and let y be the number of triangles. "Is $\frac{1}{3}$" tells us to multiply the number of sides by $\frac{1}{3}$ to find the number of triangles. $y=\frac{1}{3}x$ Create a table with some values that satisfy the equation. $\underline{sides, x}\ \ \ \underline{triangles, y}$ $\ \ \ \ \ \ \ 3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1$ $\ \ \ \ \ \ \ 6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2$ $\ \ \ \ \ \ \ 9\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3$ Plot the points in the table. Plot other points that lie on the imaginary line connecting the points. Only plot points at whole values of x that are a multiple of 3 since the number of triangles cannot be fractional.
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