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
$20.00
$20.00
$0.50
$0.50
$5.00
$5.00
$2.00
Based on the illustration, the line labeled A represents the relationship between the number of markers and the total cost. The line passes through the point (0,0) and (3,6). This means that when the number of markers is 3, the total cost is 6 dollars.
To predict the total cost of buying 10 type A markers, we can use the equation of the line.
Slope of the line = (Change in y)/(Change in x) = (6-0)/(3-0) = 2
Using the slope-intercept form of a line, we can write the equation as:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting the values, we have:
y = 2x + b
To find b, we can substitute the values from either point (0,0) or (3,6):
0 = 2(0) + b
b = 0
Now we have the equation:
y = 2x
Substituting x = 10, we can predict the total cost:
y = 2(10) = 20
Therefore, the total cost for buying 10 of the type A markers is $20.00.
are you sure
Apologies for the confusion.
To predict the total cost for buying 10 of the type A markers, we need to find the corresponding y-coordinate on the line labeled A.
The line labeled A passes through the points (0,0) and (3,6). This means that for every marker bought, the cost increases by 2 dollars (the slope of the line).
Since we want to find the total cost for buying 10 markers, we need to multiply the number of markers by the cost increase per marker:
Cost increase per marker = $6/3 = $2
Total cost for buying 10 markers = 10 markers * $2 = $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 look at the relationship between the number of markers and the total cost on the graph. From the solid line labeled A, we can observe that the total cost increases linearly as the number of markers increases.
By examining the graph, we can see that the line labeled A passes through the coordinates (0,0) and (3,6). This means that as the number of markers increases from 0 to 3, the total cost increases from $0.00 to $6.00.
Since the relationship is linear, we can calculate the slope of the line (which represents the rate of change in total cost per marker) by using the coordinates (0,0) and (3,6), and then use that slope to find the total cost for buying 10 markers.
The slope of the line can be calculated as:
Slope = (change in y-coordinates) / (change in x-coordinates)
= (6-0) / (3-0)
= 6/3
= 2
This means that for each marker, the total cost increases by $2.00.
To find the total cost for buying 10 of the type A markers, we can simply multiply the slope by the number of markers (10):
Total Cost = Slope * Number of markers
= $2.00/marker * 10 markers
= $20.00
Therefore, the predicted 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 find the value of the y-coordinate when x is equal to 10, on line A.
Based on the given information, line A passes through the points (0, 0) and (3, 6).
We can calculate the slope (m) of line A using the formula:
m = (change in y-coordinates) / (change in x-coordinates)
m = (6 - 0) / (3 - 0)
m = 6 / 3
m = 2
This means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 2.
Now we can use the point-slope form of a linear equation to find the equation of line A:
y - y1 = m(x - x1)
Using the point (0, 0) on line A, the equation becomes:
y - 0 = 2(x - 0)
y = 2x
Now we can substitute x = 10 into the equation to find the corresponding y-coordinate:
y = 2(10)
y = 20
Therefore, the predicted total cost for buying 10 of the type A markers is $20.00.