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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, we need to find the equation of the line labeled A.

We can find the slope of the line by using the formula:

slope = (change in y-coordinate) / (change in x-coordinate)

slope = (6 - 0) / (3 - 0) = 6/3 = 2

Using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept, we can substitute the values in the equation:

y = 2x + b

We can find the y-intercept by substituting the coordinates (0,0) into the equation:

0 = 2(0) + b

0 = 0 + b

b = 0

Therefore, the equation of line A is y = 2x.

To predict the total cost for buying 10 of the type A markers, we can substitute x = 10 into the equation:

y = 2(10) = 20

Therefore, the total cost for buying 10 of the type A markers is $20.00.

The correct answer is:

$20.00