$32 monthly fee plus $3/hour for rental

write a model representing the total monthly cost, C, in terms of X

Let X = hours.

C = 3X + 32

Let X = hours

c = 3x+32

To write a model representing the total monthly cost, C, in terms of X, we need to consider two components: the fixed monthly fee of $32 and the variable hourly rental cost of $3 per hour.

The fixed monthly fee of $32 remains constant regardless of the number of hours rented. So, this part of the total monthly cost can be represented as 32.

The variable hourly rental cost of $3 per hour is dependent on the number of hours rented, X. The more hours rented, the higher the cost. Therefore, this part of the total monthly cost can be represented as 3X.

Combining these two components, the total monthly cost, C, can be modeled as:
C = 32 + 3X