Compare Proportions from Graphs & Equations Quick Check2 of 52 of 5 ItemsQuestionUse 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$5.00$5.00$2.00$2.00$20.00$20.00$0.50$0.50Skip to navigationpage 14 of 14
To find the total cost for buying 10 of the type A markers, we can examine the proportion between the number of markers and the total cost on the graph.
From the graph, we can see that the line labeled A passes through the coordinates (0,0) and (3,6). This means that for every 3 markers, the total cost is 6 dollars.
Therefore, we can set up a proportion:
3/6 = 10/x
To solve for x (the total cost for buying 10 markers), we can cross multiply:
3x = 6 * 10
3x = 60
Dividing both sides by 3, we find:
x = 20
So, the total cost for buying 10 of the type A markers is $20.
Therefore, the correct response is:
$20.00
To predict the total cost for buying 10 of the type A markers, we can use the information from the graph. The solid line labeled A passes through the coordinates (0, 0) and (3, 6), indicating the relationship between the number of markers (x-axis) and the total cost (y-axis).
To find the total cost for buying 10 markers, we need to find the corresponding point on line A.
First, we calculate the slope of line A:
Slope = (change in y) / (change in x)
= (6-0) / (3-0)
= 6/3
= 2
Next, using the point-slope form of a linear equation, we can find the equation of line A:
y - y1 = m(x - x1)
Using the point (0, 0) on line A, we have:
y - 0 = 2(x - 0)
y = 2x
Now, substitute x = 10 into the equation to find the total cost for buying 10 markers:
y = 2(10) = 20
Therefore, the predicted total cost for buying 10 of the type A markers would be $20.00.
To predict the total cost for buying 10 of the type A markers, we need to examine the relationship between the number of markers and the total cost as shown in the graph.
First, let's observe the line labeled A, which passes through the coordinates (0,0) and (3,6). This line represents the relationship between the number of type A markers and the total cost. We can see that as the number of markers increases, the total cost also increases.
To find the equation of the line A, we can use the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
We can calculate the slope, m, using the formula: m = (change in y) / (change in x)
In this case, the change in y is 6 - 0 = 6, and the change in x is 3 - 0 = 3. Thus, the slope, m, is 6/3 = 2.
Now, we can find the y-intercept, b, by substituting one of the points (0,0) into the equation: 0 = 2(0) + b
Simplifying the equation, we get b = 0.
So, the equation of line A is y = 2x.
To predict the total cost for buying 10 type A markers, we substitute x = 10 into the equation:
y = 2(10) = 20.
Therefore, the predicted total cost for buying 10 type A markers is $20.00.
Option: $20.00