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+

1 answer

To represent Colin's babysitting cost algebraically, we typically express the total cost \(y\) as the sum of a flat fee and an hourly fee multiplied by the number of hours worked \(x\).

Let:

  • \(b\) be the flat fee (the initial cost regardless of hours worked).
  • \(h\) be the hourly fee (the cost per hour).

The equation can be represented as:

\[ y = hx + b \]

Where:

  • \(y\) is the total cost.
  • \(x\) is the number of hours babysat.
  • \(h\) is the hourly fee.
  • \(b\) is the flat fee.

You would replace \(h\) and \(b\) with the appropriate values based on the information from the graph to give you the complete equation. For example, if the flat fee is $10 and the hourly fee is $5, it would look like:

\[ y = 5x + 10 \]

Please provide the values of the flat fee and the hourly fee if you want a more specific equation.