Ask a New Question
Menu

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=
y
=
x+
x
+
Skip to navigation

Item
1
, Unattempted.
Item
2
, Unattempted.
Item
3
, Unattempted.
Item
4
, Unattempted.
Item
5
, Unattempted.
Item
6
, Unattempted.
Item
7
, Unattempted.
Item
8
, Unattempted.
Item
9
, Unattempted.
Item
10
, Unattempted.
Item
11
, Unattempted.
Item
12
, Unattempted.
Item
13
, Unattempted.
Item
14
, Unattempted.
Item
15
, Unattempted.
Item
16
, Unattempted.
Item
17
, Unattempted.
Item
18
, Unattempted.
Item
19
, Unattempted.
Item
20
, Unattempted.
Item
21
, Unattempted.
Item
22
, Unattempted.
Item
23
, Unattempted.

1 answer

To represent Colin's babysitting cost algebraically based on the given situation (a flat fee plus an hourly fee), we can use a linear equation.

Let's denote:

  • \( y \) as the total cost for babysitting,
  • \( x \) as the number of hours Colin babysits,
  • \( b \) as the flat fee,
  • \( m \) as the hourly fee.

The general form of the linear equation that represents this situation would be:

\[ y = mx + b \]

  • \( m \) is the hourly rate (the cost per hour),
  • \( b \) is the fixed flat fee (the initial cost).

You would need to identify the relevant values for \( m \) and \( b \) based on the graph's data (the slope and the y-intercept of the line) to fill in the equation completely.

In summary, the equation you are looking for is:

\[ y = mx + b \]

You can replace \( m \) and \( b \) with the specific numbers based on the values obtained from the graph.