A credit card company offers an annual 2% cash-back rebate on all gasoline purchases. If a family spent $5,450 on gasoline purchases over the course of a year, what was the family's rebate (in dollars) at the end of the year?

The family's rebate would be 2% of $5,450, which is:

$5,450 x 0.02 = $109

Therefore, the family's rebate at the end of the year would be $109.