Final answer:
The tutor made an error in the initial calculations, as the result of $150 does not match any of the answer choices. A correct recalculation should be performed.
Step-by-step explanation:
The student needs to find the installation fee for a home security system, which charges a weekly rate of $5. Given the total fee for 12 weeks of service is $210, we can create an equation to represent this: installation fee + $5(12 weeks) = $210. Simplifying the equation yields: installation fee + $60 = $210. We subtract $60 from both sides of the equation to isolate the installation fee, so the installation fee = $210 - $60. Calculating this, we find the installation fee is $150. However, since $150 is not an option provided, we will need to check our calculations to ensure there was no mistake in the process.