Question

Question

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 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

$0.50
$0.50

$5.00
$5.00

$2.00
$2.00

$20.00
$20.00
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Answer 1

To predict the total cost for buying 10 of the type A markers based on the graph provided:

1. First, we need to determine the slope of the line labeled A. The line passes through the points (0, 0) and (3, 6).

2. The slope (m) is calculated as the change in y divided by the change in x: $$m=\frac{\mathrm{\Delta }y}{\mathrm{\Delta }x}=\frac{6-0}{3-0}=\frac{6}{3}=2$$ This means that for every additional marker (1 unit of x), the total cost increases by $2 (1 unit of y).

3. Therefore, if the cost of type A markers is $2 per marker, for 10 markers, the cost would be: $$\text{Total cost}=10\text{ markers}\times 2\text{ dollars per marker}=20\text{ dollars}$$

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