Use the image to answer the question.

Question

A line graph which shows X-axis ranging from 0 to 15 in increments of 5 and y-axis ranging from 0 to 30 in increments of 10.

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)

Answer 1

To represent Colin's babysitting cost situation algebraically, we can formulate an equation that captures both the flat fee and the hourly fee.

Let's define the variables:

• Let \( C \) represent the total cost.
• Let \( F \) represent the flat fee.
• Let \( H \) represent the hourly fee.
• Let \( t \) represent the number of hours babysat.

From the information given, the total cost can be expressed as:

\[ C = F + H \cdot t \]

In this equation:

• \( F \) is a constant value representing the flat fee.
• \( H \cdot t \) represents the cost of babysitting based on the number of hours, where \( H \) is the hourly rate.

You would use the specific values of \( F \) and \( H \) from the line graph to put in numerical values to complete the equation.