Chapter 7 - Exponential and Logarithmic Functions - Get Ready! - Page 431: 14

$\text{exponential growth}$

There should be exponential growth because the first week you may get $1$ dollar but, then another week you'd get $2$ then $4$ and it continues. Your allowance isn't increasing by the same number every week, number it increases by double (power of $2$) so it will be exponential.