Final answer:
The coefficient of b in the cable cost expression most likely represents the cost for one cable box with DVR and HD service for one month (Option D), as coefficients usually stand for recurring fees in such expressions.
Step-by-step explanation:
The coefficient of b in the cable cost expression represents a periodic fee, often monthly or yearly, associated with a service. Let's examine the options given:
- Option A: This suggests an annual (one year) cost plus an installation fee, but typically, coefficients represent recurring costs, and an installation fee is usually a one-time expense.
- Option B: This suggests a monthly cost plus an installation fee. It is more plausible since the coefficient often indicates a recurring cost, although the installation fee still seems out of place for a coefficient.
- Option C: This suggests an annual cost for a cable box with additional services, but this is less likely because such costs are usually broken down into monthly payments in a cost expression.
- Option D: Finally, this suggests a monthly cost for a cable box with extra services, which fits the common structure of a cost expression where the coefficient represents a recurring monthly fee for services.
Without additional context, it's difficult to ascertain with certainty, but typically, the coefficient would represent a recurring fee without one-time costs like an installation fee. Therefore, Option D is most likely correct as it aligns with the common interpretation of coefficients in cost expressions, omitting any one-time fees.