Linear Equations

NZ Level 6 (NZC) Level 1 (NCEA)

Direct Proportion

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

$x$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

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Apply direct and inverse relationships with linear proportions

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