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An internet company charges a one-time $50 router installation fee and $75 every month of service. If x represents the number of months of service the customer has received, the total cost for internet charges is represented by
f(x)=75x+50. What does the rate of change represent in this situation?

Question 5 options:

The one-time installation fee.


The total number of months the customer has received internet.


The cost of internet after 75 months.


The cost per month of internet service.

Answer 1

In the function \( f(x) = 75x + 50 \), the rate of change is represented by the coefficient of \( x \), which is 75. This means that for each additional month of service, the total cost increases by $75.

Therefore, the correct answer is:

**The cost per month of internet service.**