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Answer :
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].
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].
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