Let's break down the problem step-by-step to find out how much money Janice should set aside each month to cover her car insurance.
1. Determine the total annual cost of the car insurance:
- Janice makes 4 payments a year, with each payment being [tex]$156.
- To find the total yearly amount, we multiply the number of payments by the amount of each payment.
\[
\text{Total yearly amount} = 4 \times 156 = 624
\]
2. Convert the total annual cost to a monthly cost:
- There are 12 months in a year.
- To find out how much Janice needs to set aside each month, we divide the total yearly amount by 12.
\[
\text{Monthly savings needed} = \frac{624}{12} = 52
\]
Thus, Janice should set aside $[/tex]\[tex]$52$[/tex] each month to cover her car insurance.
Therefore, the correct answer is:
D. [tex]$\$[/tex]52$