[["x", "y"], ["a", "b"], ["m", "n"]] randFromArray(VARIABLE_NAMES) { v1: "<code><var>V1</var></code>", v2: "<code><var>V2</var></code>", } rand(2) randRange(2, 9) MULTIPLIER_IS_FRACTIONAL ? MULTIPLIER_VALUE : "\\frac{1}{"+MULTIPLIER_VALUE+"}" MULTIPLIER_IS_FRACTIONAL ? "\\frac{1}{"+MULTIPLIER_VALUE+"}" : MULTIPLIER_VALUE
randFromArray([ $._("%(v1)s is directly proportional to %(v2)s", V1V2), $._("%(v1)s and %(v2)s vary directly", V1V2), $._("%(v1)s varies directly with %(v2)s", V1V2), $._("%(v1)s and %(v2)s are in direct variation", V1V2) ])

STATEMENT.

Which of these equations could represent the relationship between `V1` and `V2`?

`V1 = MULTIPLIER \cdot V2`

STATEMENT if `V1 = k \cdot V2` for some constant k

`V1 = MULTIPLIER \cdot V2` fits this pattern, with `k = MULTIPLIER`.

- `V1 \cdot V2 = MULTIPLIER`
- `V1 \cdot V2 = MULTIPLIER_INVERSE`
- `V1 = MULTIPLIER \cdot \frac{1}{V2}`
- `MULTIPLIER \cdot V1 = \frac{1}{V2}`
- `MULTIPLIER_INVERSE \cdot V1 = \frac{1}{V2}`
- `MULTIPLIER \cdot \frac{1}{V1} = V2`
- `MULTIPLIER_INVERSE \cdot \frac{1}{V1} = V2`
- `V1 + V2 = MULTIPLIER_INVERSE`
- `V1 = MULTIPLIER - V2`

`\frac{V1}{V2} = MULTIPLIER`

STATEMENT if `V1 = k \cdot V2` for some constant k

If you divide each side of this expression by `V2`, you get `\dfrac{V1}{V2} = k` for some constant `k`.

`\dfrac{V1}{V2} = MULTIPLIER` fits this pattern, with `k = MULTIPLIER`.

`MULTIPLIER \cdot V1 = V2`

STATEMENT if `V1 = k \cdot V2` for some constant k

If you divide each side of this expression by `k`, you get `\dfrac{1}{k} \cdot V1 = V2`.

`MULTIPLIER \cdot V1 = V2` fits this pattern, with `k = MULTIPLIER_INVERSE`.

randFromArray([ $._("%(v1)s is inversely proportional to %(v2)s", V1V2), $._("%(v1)s and %(v2)s vary inversely", V1V2), $._("%(v1)s varies inversely with %(v2)s", V1V2), $._("%(v1)s and %(v2)s are in inverse variation", V1V2) ])

STATEMENT.

Which of these equations could represent the relationship between `V1` and `V2`?

`V1 = MULTIPLIER \cdot \frac{1}{V2}`

STATEMENT if `V1 = k \cdot \dfrac{1}{V2}` for some constant k

`V1 = MULTIPLIER \cdot \dfrac{1}{V2}` fits this pattern, with `k = MULTIPLIER`.

- `\frac{V1}{V2} = MULTIPLIER`
- `\frac{V1}{V2} = MULTIPLIER_INVERSE`
- `V1 = MULTIPLIER \cdot V2`
- `V1 = MULTIPLIER_INVERSE \cdot V2`
- `MULTIPLIER \cdot V1 = V2`
- `MULTIPLIER_INVERSE \cdot V1 = V2`
- `MULTIPLIER \cdot \frac{1}{V1} = \frac{1}{V2}`
- `MULTIPLIER_INVERSE \cdot \frac{1}{V1} = \frac{1}{V2}`
- `V1 - V2 = MULTIPLIER_INVERSE`
- `V1 = MULTIPLIER + V2`

`V1 \cdot V2 = MULTIPLIER`

STATEMENT if `V1 = k \cdot \dfrac{1}{V2}` for some constant k

If you multiply each side of this expression by `V2`, you get `V1 \cdot V2 = k` for some constant `k`.

`V1 \cdot V2 = MULTIPLIER` fits this pattern, with `k = MULTIPLIER`.

`MULTIPLIER \cdot \dfrac{1}{V1} = V2`

STATEMENT if `V1 = k \cdot \dfrac{1}{V2}` for some constant k

If you divide each side of this expression by `k`, you get `\dfrac{V1}{k} = \dfrac{1}{V2}`.

Then you can take the inverse of each side to get `\dfrac{k}{V1} = V2`.

`MULTIPLIER \cdot \dfrac{1}{V1} = V2` fits this pattern, with `k = MULTIPLIER`.