\begin{tabular}{|l|r|}
\hline \multicolumn{2}{|c|}{\begin{tabular}{c}
Home Owner's \\
Policy Comparison
\end{tabular}} \\
\hline & \multicolumn{1}{|c|}{ Deductible } \\
\hline Policy 1 & [tex]$\$[/tex] 2,200.00[tex]$ \\
\hline Policy 2 & $[/tex]\[tex]$ 1,500.00$[/tex] \\
\hline
\end{tabular}

Which statement below correctly compares the premium prices for these insurance policies?

A. Policy 1 will have a higher premium because it has a lower deductible than Policy 2.

B. Policy 2 will have a higher premium because it has a lower deductible than Policy 1.

C. Policy 1 will have a higher premium because it has a higher deductible than Policy 2.

D. Policy 1 will have a lower premium because it has a lower deductible than Policy 2.



Answer :

Let's carefully walk through the given information and logically deduce the correct comparison of the premium prices for the two insurance policies.

First, let's state the deductibles:
- The deductible for Policy 1 is \[tex]$2,200. - The deductible for Policy 2 is \$[/tex]1,500.

To understand the relationship between deductibles and premiums, it's important to note that a lower deductible typically implies a higher premium. The reason is that with a lower deductible, the insurance company takes on more risk and therefore charges a higher premium to cover that risk.

Now, let's compare the deductibles:
- Policy 1 deductible = \[tex]$2,200 - Policy 2 deductible = \$[/tex]1,500

Policy 2 has a lower deductible (\[tex]$1,500) compared to Policy 1 (\$[/tex]2,200). Given the rule that a lower deductible generally results in a higher premium:

This means Policy 2, with the lower deductible, will have a higher premium.

Now we can match this understanding with the options provided:

A. Policy 1 will have a higher premium because it has a lower deductible than Policy 2.
- This is incorrect. Policy 1 actually has a higher deductible.

B. Policy 2 will have a higher premium because it has a lower deductible than Policy 1.
- This is correct. Policy 2 has a lower deductible, leading to a higher premium.

C. Policy 1 will have a higher premium because it has a higher deductible than Policy 2.
- This is incorrect. A higher deductible generally implies a lower premium.

D. Policy 1 will have a lower premium because it has a lower deductible than Policy 2.
- This is incorrect. Policy 1 has a higher deductible, which would generally mean a lower premium.

Thus, the correct statement is:

B. Policy 2 will have a higher premium because it has a lower deductible than Policy 1.