Question

Question was provided via image upload.

Explanation:

Step1: Identify rate of change

The hourly rate is the rate of change, so $m = 30$.

Step2: Calculate total hourly cost

Multiply hourly rate by hours: $30 \times 6 = 180$

Step3: Find initial fee (b)

Subtract hourly cost from total paid: $205 - 180 = 25$

Step4: Write linear function

Use form $y = mx + b$ with $m=30$, $b=25$: $y = 30x + 25$

Answer:

$y = 30x + 25$
(Note: The handwritten calculation in Step 2 of the original image contains an error; the correct total hourly cost for 6 hours at $30/hour is $180, leading to an initial fee of $25, not $125.)