Sure! Let's break down the situation step by step:
1. Fixed Fee: The electrician charges a fixed fee of [tex]$50, irrespective of the number of hours worked. This means that even if the electrician works for 0 hours, the cost will still be $[/tex]50.
2. Hourly Rate: In addition to the fixed fee, the electrician charges $35 for every hour he works. Therefore, if the electrician works for [tex]\( x \)[/tex] hours, the additional cost will be [tex]\( 35 \times x \)[/tex].
3. Total Cost: To find the total cost [tex]\( y \)[/tex], you need to add the fixed fee to the hourly charges. Hence, the total cost can be modeled by the equation:
[tex]\[
y = 50 + 35x
\][/tex]
Here,
- [tex]\( y \)[/tex] represents the total cost in dollars,
- [tex]\( x \)[/tex] represents the number of hours the electrician works.
Therefore, the equation that models the cost of using the electrician for [tex]\( x \)[/tex] hours is:
[tex]\[
y = 35x + 50
\][/tex]
