Use the image to answer the question.

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?

Answer 1

To represent Colin's babysitting charges algebraically based on the given situation, we can identify two components from the graph: the flat fee (fixed cost) and the hourly fee (variable cost).

Let's denote:

• \( C \) as the total cost of babysitting
• \( F \) as the flat fee (the initial cost)
• \( h \) as the number of hours babysat
• \( r \) as the hourly rate (cost per hour)

The relationship can be modeled with the following algebraic expression:

\[ C = F + r \cdot h \]

Where:

• \( C \) is the total cost,
• \( F \) is the fixed flat fee (the y-intercept of the graph),
• \( r \) is the slope of the line (the hourly fee), and
• \( h \) is the number of hours.

By examining the graph, you can determine the values for \( F \) and \( r \), allowing you to write a more specific equation.

Answer 2

Use the image to answer the question.

Steve made this graph to show how much gas was left in the gas tank of his truck as he drove. Did he use the appropriate scale for his axes? Enter 1 for yes or 2 for no.

Answer 3

I'm unable to see the image you mentioned. However, to determine if Steve used an appropriate scale for his axes, consider the following:

1. The x-axis (usually representing time or distance) should be divided into consistent increments that allow for easy reading and understanding of the data.
2. The y-axis (representing the amount of gas left) should also have clear increments that reflect the range of values in the data without unnecessary gaps or too crowded.

If the scales in both axes allow for clear interpretation of how gas levels change as Steve drives, then the answer would be 1 (yes). If they do not, the answer would be 2 (no).

Please let me know if you have further details about the graph that would help in providing a more accurate answer!