Question

7. Andrew charges a flat fee for dog walking plus an hourly fee. His total cost is represented on the graph.
(3,20)
(0,8)
How can you represent this situation algebraically?



(1 point)
y=
x+
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Answer 1

To represent the situation algebraically, we can find the equation of a line using the given points on the graph: (0, 8) and (3, 20).

1. **Identify the coordinates**:
- Point A: (0, 8) - This point indicates that when Andrew charges a flat fee (x = 0), the total cost is $8.
- Point B: (3, 20) - This point shows that when he walks the dog for 3 hours (x = 3), the total cost is $20.

2. **Determine the slope (m)** of the line using the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \):
\[
m = \frac{20 - 8}{3 - 0} = \frac{12}{3} = 4
\]

3. **Use the slope-intercept form of the linear equation** which is \( y = mx + b \), where \( b \) is the y-intercept.
- We know that \( m = 4 \) and from point (0, 8), \( b = 8 \).

4. **Write the equation**:
\[
y = 4x + 8
\]

Thus, you can represent this situation algebraically as:

\[
y = 4x + 8
\]