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3.015 Direct variation

Interactive practice questions

Consider the values in each table. Which of them could represent a directly proportional relationship between $x$x and $y$y?

$x$x $1$1 $3$3 $5$5 $7$7
$y$y $50$50 $40$40 $30$30 $20$20
A
$x$x $1$1 $2$2 $3$3 $4$4
$y$y $5$5 $20$20 $45$45 $80$80
B
$x$x $1$1 $2$2 $3$3 $4$4
$y$y $5$5 $10$10 $15$15 $20$20
C
$x$x $1$1 $5$5 $6$6 $20$20
$y$y $100$100 $75$75 $50$50 $25$25
D
Easy
< 1min

Which of the following is the best description of direct proportion?

Easy
< 1min

$a$a is directly proportional to $b$b and $a=60$a=60 when $b=6$b=6.

Easy
2min

Which two graphs indicate that $y$y is directly proportional to $x$x?

Easy
< 1min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

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