The number of branches of an oak tree and a birch tree since $1950$ are represented by the following tables:
|| **Oak tree** ||
Time (years)| Branches
- | - | -
$0$ | $34$
$3$ | $46$
$6$ | $59$
$9$ | $70$
$12$ | $82$
|| **Birch tree** ||
Time (years)| Branches
- | - | -
$0$ | $8$
$10$ | $33$
$20$ | $128$
$30$ | $512$
$40$ | $2049$
**Determine whether the data described in the tables is *best* modeled by a linear function or an exponential function.**
[[☃ categorizer 1]]