To represent Colin's babysitting charges algebraically based on the information you provided, we can define the variables:
- Let \( y \) be the total cost.
- Let \( x \) be the number of hours he babysits.
Given that Colin charges a flat fee plus an hourly fee, we can express his total cost with the following equation:
\[ y = mx + b \]
Where:
- \( m \) is the hourly rate,
- \( b \) is the flat fee.
You would need the specific values for \( m \) and \( b \) from the graph to provide a complete answer. However, if you are referring to a specific graph that shows the relationship, it might look something like \( y = mx + b \) where you can substitute in the values determined from the graph.
For instance, if the flat fee (intersection on the y-axis) is $10 and the hourly rate is $5 per hour, the equation would be:
\[ y = 5x + 10 \]
Please confirm the specific values from the graph, or provide more details, for a precise representation.