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 solid line, labeled A, is marked on the graph and passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 3 comma 6 right parenthesis. A dotted line, labeled B, passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 6 comma 3 right parenthesis.

Predict what the total cost would be for buying 10 of the type A markers.

(1 point)
Responses

$20.00
$20.00

$0.50
$0.50

$2.00
$2.00

$5.00

Answer 1

To determine the total cost for buying 10 of the type A markers, we need to analyze the information provided about the solid line A on the graph, which goes through the points (0, 0) and (3, 6).

From these coordinates, we can find the slope of the line A. The rise over run from (0, 0) to (3, 6) is:

• Rise: \(6 - 0 = 6\)
• Run: \(3 - 0 = 3\)

Thus, the slope (cost per marker) is:

\[ \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{6}{3} = 2 \]

This means the cost increases by $2 for each marker.

To find out the total cost for 10 markers, we multiply the number of markers (10) by the cost per marker (2):

\[ \text{Total cost} = 10 \times 2 = 20 \]

Therefore, the total cost for buying 10 type A markers would be $20.00.