Question

Question

Use the image to answer the 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)

y = _x + _

Answer 1

To represent Colin's babysitting charge algebraically, we can use the equation for a linear function, which is typically of the form:

\[ y = mx + b \]

Where:

• \( y \) is the total cost.
• \( m \) is the hourly fee (the slope of the line).
• \( x \) is the number of hours babysat.
• \( b \) is the flat fee (the y-intercept).

From the information you provided (the increments on the axes), we can determine the values for \( m \) and \( b \) by examining the line on the graph.

Assuming:

• The flat fee (b) is the value of \( y \) when \( x = 0 \).
• The hourly fee (m) can be calculated by taking two points on the line, finding the change in \( y \) divided by the change in \( x \).

If you can identify these values from the graph:

• Let's say the flat fee (b) is 10 (when x=0, y=10).
• Let's say for each hour (x), the cost increases by 5 (for example, from (0,10) to (1,15), the increase is \( 5 \)).

Then, the equation would be:

\[ y = 5x + 10 \]

So, filling in the blanks from your question, you would have:

y = 5x + 10

Please replace 5 and 10 with the correct values from the graph if they differ.