A credit card company offers an annual 2% cash-back rebate on all gasoline purchases. If a family spent $5850 on gasoline purchases over the course of a year, what was the family's rebate at the end of the year?

To calculate the cash-back rebate the family received, we can use the formula: Rebate = Total gasoline purchases × Cash-back rate Given: Total gasoline purchases = $5850 Cash-back rate = 2% = 0.02 Substituting these values into the formula: Rebate = 5850 × 0.02 Rebate = $ 117 So, the family's rebate at the end of the year was $117.