In an effort to reduce cost on auto insurance, Sophia has lowered each component of her current plan to the cheapest possible option. Sophia’s current insurance agency is Fret-No-More Auto Insurance, whose policy options are listed below. The annual premium for Sophia’s current policy is $511.31. What decrease in her annual premium will Sophia see after the change?Fret-No-More Auto Insurance Type of Insurance CoverageCoverage LimitsAnnual PremiumsBodily Injury $25/50,000$21.35 $50/100,000$32.78 $100/300,000$42.10 Property Damage$25,000 $115.50 $50,000 $142.44 $100,000 $193.78 Collision$100 deductible$490.25 $250 deductible$343.33 $500 deductible$248.08 Comprehensive$50 deductible$105.79 $100 deductible$88.23
Choose the lowest premium in each category: $21.35 for bodily injury, $115.50 for property damage, $248.08 for collision, and $88.23 for comprehensive. Together, these cost $473.16 per year. Subtract that from Sophia’s current annual premium: $511.31 − $473.16 = $38.15, so her premium decreases by $38.15.
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