A plumber charges a service fee of $70 in addition to charging $30 per hour, where $ h $ is the number of hours. If the final bill for a repair is $172, which equation represents the charges?

A. $ 30(h + 70) = 172 $
B. $ 70(h + 30) = 172 $
C. $ 70h + 30 = 172 $
D. $ 70 + 30h = 172 $

The correct equation representing the charges for a plumber if his service charge is $70 and he charges $30 per hour, and the total bill was $172, is '70 + 30h = 172'.

Explanation:

The question is asking to find an equation that represents a plumber's charges. The plumber charges a $70 service fee plus $30 for each hour of work (represented by 'h'). Finally, the total amount is given as $172.

This kind of fee structure is typically modeled with a linear equation where the fixed fee is the y-intercept and the hourly charge is the slope. Therefore, the correct equation is 70 + 30h = 172. This means that the plumber's service charge of $70 plus $30 for each hour of work is equal to the total bill of $172.

Learn more about Linear Equations here:

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A plumber charges a service fee of $70 in addition to charging $30 per hour, where \( h \) is the number of hours. If the final bill for a repair is $172, which equation represents the charges?A. \( 30(h + 70) = 172 \)B. \( 70(h + 30) = 172 \)C. \( 70h + 30 = 172 \)D. \( 70 + 30h = 172 \)

Answer :

Final answer:

Explanation:

Other Questions

A plumber charges a service fee of $70 in addition to charging $30 per hour, where \( h \) is the number of hours. If the final bill for a repair is $172, which equation represents the charges?

A. \( 30(h + 70) = 172 \)
B. \( 70(h + 30) = 172 \)
C. \( 70h + 30 = 172 \)
D. \( 70 + 30h = 172 \)