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
$2.00
$2.00
$0.50
$0.50
$5.00
$5.00
$20.00
$20.00
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Since the line labeled A passes through the coordinates (0,0) and (3,6), we can use the equation of a line to find the slope:
slope = (change in y)/(change in x) = (6-0)/(3-0) = 6/3 = 2
Now we can use the equation of a line to find the y-intercept:
y = mx + b, where m is the slope and b is the y-intercept
0 = 2(0) + b
0 = b
So the equation of line A is y = 2x.
To find the total cost for buying 10 markers, we 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.
To predict the total cost for buying 10 of the type A markers, we need to determine the equation of line A and use it to find the corresponding y-value for x = 10.
Line A passes through the points (0, 0) and (3, 6), so we can use the slope-intercept form of a linear equation:
y = mx + b
First, calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
m = (6 - 0) / (3 - 0) = 6/3 = 2
Next, use the slope-intercept form to find the y-intercept (b) by plugging in the coordinates of one of the points:
0 = (2)(0) + b
0 = b
Therefore, the equation of line A is:
y = 2x
To find the total cost for buying 10 of the type A markers, substitute x = 10 into the equation:
y = 2(10)
y = 20
Therefore, the predicted total cost for buying 10 of the type A markers is $20.00.
To answer the question, we need to find the equation of line A, which passes through the points (0, 0) and (3, 6).
To find the equation of a line, we can use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
First, let's calculate the slope of line A using the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the values for the two points, we get:
m = (6 - 0) / (3 - 0) = 6 / 3 = 2
So, the slope of line A is 2.
Next, we can use the point-slope form to find the equation of line A:
y - y1 = m(x - x1)
Using one of the points (0, 0), we get:
y - 0 = 2(x - 0)
Simplifying, we get:
y = 2x
Now that we have the equation of line A, we can substitute x = 10 to find the y-coordinate, which represents the total cost for buying 10 of the type A markers.
Plugging in x = 10, we get:
y = 2(10) = 20
Therefore, the predicted total cost for buying 10 of the type A markers is $20.00.