An electrician’s shop charges a $55 service fee plus $50 per hour for labor. The linear equation that models this is c=50h+55
where h is the number of labor hours and c is the total cost. How much would the shop charge a customer for a job that takes 17 hours?

To determine the cost for a job that takes 17 hours, we can use the linear equation provided:

\[
c = 50h + 55
\]

where:
- $ c $ is the total cost,
- $ h $ is the number of labor hours.

Substitute $ h = 17 $ into the equation:

\[
c = 50(17) + 55
\]

Now, calculate:

\[
c = 850 + 55 = 905
\]

So, the shop would charge **$905** for a job that takes 17 hours.

Would you like more details or have any questions?

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Here are 5 related questions to consider:

1. How would the cost change if the labor rate increased to $60 per hour?
2. What would be the cost for a job that takes 10 hours?
3. How would you calculate the number of hours worked if the total cost is known?
4. How would the total cost change if the service fee was reduced to $45?
5. What is the equation if the service fee is removed completely?

**Tip:** Always substitute the given values into the equation carefully to avoid errors in calculations.

Learn how to calculate the total cost for an electrician's service using the linear equation c = 50h + 55. This problem involves determining costs based on labor hours and a service fee. Suitable for Grades 7-9.

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