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Middle Years

11.01 Directly proportional functions

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 $20$20 $16$16 $12$12 $8$8
A
$x$x $1$1 $5$5 $6$6 $20$20
$y$y $16$16 $12$12 $8$8 $4$4
B
$x$x $1$1 $2$2 $3$3 $4$4
$y$y $2$2 $8$8 $18$18 $32$32
C
$x$x $1$1 $2$2 $3$3 $4$4
$y$y $2$2 $4$4 $6$6 $8$8
D
Easy
< 1min

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

Easy
< 1min

$a$a is directly proportional to $b$b and $a=54$a=54 when $b=9$b=9.

Easy
3min

Consider the equation $y=6x$y=6x.

Easy
1min
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