Use the image to answer the question.

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)
$
per marker
Remaining Attempts : 2

Answer 1

To find the unit cost from the graph, we need to calculate the slope of the line that represents the total cost in relation to the number of markers.

1. The two points on the line are (0, 0) and (4, 3).
2. The change in cost (Δy) is the difference between the y-coordinates of these points: \(Δy = 3 - 0 = 3\)
3. The change in the number of markers (Δx) is the difference between the x-coordinates: \(Δx = 4 - 0 = 4\)
4. The slope (unit cost) is given by: \[ \text{Unit Cost} = \frac{Δy}{Δx} = \frac{3}{4} \]

Therefore, the unit cost is \( \frac{3}{4} \) dollars per marker, or \( 0.75 \) dollars per marker.

So, the unit cost is $0.75 per marker.