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Compare Proportions from Graphs & Equations Quick Check
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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

$5.00
$5.00

$20.00
$20.00

$2.00
$2.00

$0.50
$0.50
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Answer 1

To predict the total cost for buying 10 of marker type A, we first need to determine the equation for the line A based on the points given.

The line A passes through the coordinates (0, 0) and (3, 6). We can find the slope of line A:

\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 0}{3 - 0} = \frac{6}{3} = 2 \]

Since the line passes through the origin (0, 0), the equation of line A can be written as:

\[ y = 2x \]

Here, \( y \) is the total cost in dollars and \( x \) is the number of markers.

To find the cost for buying 10 markers, we substitute \( x = 10 \) into the equation:

\[ y = 2(10) = 20 \]

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

**So the answer is: $20.00.**