Use the image to answer the question.

An illustration shows quadrant one of a coordinate plane where the x-axis and y-axis range from 0 to 6 in increments of 1. The y-axis is titled total cost in dollars and the x-axis is titled number of markers. A line is marked on the graph, passing through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 4 comma 3 right parenthesis.

What is the unit cost from the graph?(1 point)

1 answer

To determine the unit cost from the graph, we need to analyze the coordinates provided. The line passes through the points (0, 0) and (4, 3).

The coordinates indicate:

  • At \(0\) markers, the total cost is \(0\) dollars.
  • At \(4\) markers, the total cost is \(3\) dollars.

To find the unit cost (cost per marker), we can use the formula for unit cost:

\[ \text{Unit Cost} = \frac{\text{Total Cost}}{\text{Number of Markers}} \]

Substituting the values from the point (4, 3):

\[ \text{Unit Cost} = \frac{3 \text{ dollars}}{4 \text{ markers}} = 0.75 \text{ dollars per marker} \]

Thus, the unit cost from the graph is $0.75 per marker.