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4-69.

For a tile pattern with the rule $y=6x+4$ (where $x$ represents the figure number and $y$ represents the number of tiles), which figure number has $40$ tiles in it? How do you know?

Given information:
$y=$ number of tiles
$x=$ figure number
$40$ tiles total?

Substitute the given information.
number of tiles $=6$(figure number) $+4$
$40=6x+4$

Solve for $x$.

$x=$ Figure $6$