Final answer:
John's insurance company pays a total of $2,507.00 for the damages to his car after accounting for the $500 deductible and the supplemental $275.00 for hidden damages.
Step-by-step explanation:
The question pertains to the settlement of a collision claim under an auto insurance policy. When John files a claim for the accident damages, his insurance company will cover the costs minus his deductible. The original appraisal for repair was $2,732.00. Since John has a $500 deductible for collision, he must pay this amount out of pocket, and the insurance covers the rest. Therefore, the insurance pays $2,732.00 - $500.00 = $2,232.00 initially. When additional hidden damage is found and a supplemental authorization of $275.00 is required, the insurance also covers this additional amount. Thus, the total paid by the insurance will be $2,232.00 (initial payment) + $275.00 (supplemental) = $2,507.00, which means that option (A) $2,507.00 is correct.