Question

Use the image to answer the question. Colin charges a flat fee for babysitting plus an hourly fee. His total cost is represented on the graph. How can you represent this situation algebraically? (1 point) y=() x+() Skip to navigation (3,20) (0,8)

Answer 1

To represent Colin's babysitting charge algebraically based on the information provided and the points given, we can use the two points from the graph: (0, 8) and (3, 20).

1. **Identify the points:**
- The point (0, 8) indicates that when Colin babysits for 0 hours, his total charge is $8, suggesting this is the flat fee.
- The point (3, 20) indicates that when he babysits for 3 hours, his total charge is $20.

2. **Determine the slope (hourly fee):**
- The change in total cost (y) for the change in hours (x) from (0, 8) to (3, 20):
\[
\text{slope} = \frac{20 - 8}{3 - 0} = \frac{12}{3} = 4
\]
This indicates that Colin charges $4 per hour.

3. **Formulate the equation:**
- We can represent the total cost \( y \) as a function of hours worked \( x \). The relationship can be expressed as:
\[
y = 4x + 8
\]
Here, 4 is the hourly rate and 8 is the flat fee.

So, the algebraic representation of this situation is:
\[
y = 4x + 8
\]