A plumber charges a service fee of [tex]\$70[/tex] in addition to [tex]\$30[/tex] per hour. Let [tex]h[/tex] represent the number of hours. If the final bill for a repair is [tex]\$172[/tex], which equation represents the charges?

A. [tex]30(h+70)=172[/tex]

B. [tex]70(h+30)=172[/tex]

C. [tex]70h+30=172[/tex]

D. [tex]70+30h=172[/tex]

To solve the problem of determining which equation represents the charges for a plumber's repair bill, let's break it down:

1. Identify the components of the charges:
- Service charge: The plumber has a fixed service charge of \[tex]$70.
- Hourly charge: The plumber charges \$[/tex]30 for each hour worked.

2. Understand the bill structure:
- The total cost of the repair is the sum of the fixed service charge and the variable hourly charges.

3. Write the equation for the total charges:
- The expression for the total charges can be written as: [tex]$ \text{Total Charges} = \text{Service Charge} + (\text{Hourly Charge} \times \text{Number of Hours}) $[/tex].
- Substituting the given values: [tex]$ \text{Total Charges} = 70 + 30h $[/tex].

4. Set up the equation with the total bill:
- We know the final bill is \$172.
- Thus, the equation becomes: [tex]$ 70 + 30h = 172 $[/tex].

5. Conclusion:
- The equation that represents the charges is [tex]$ 70 + 30h = 172 $[/tex].

Therefore, the correct option from the list is: [tex]$ 70 + 30h = 172 $[/tex].