Compare Proportions from Graphs & Equations Quick Check
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Question
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
$0.50
$0.50
$20.00
$20.00
$5.00
$5.00
$2.00
$2.00
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To predict the total cost for buying 10 of the type A markers, we can use the graph. We can see that the relationship between the number of markers and the total cost is a proportional relationship.
From the graph, we can see that the line labeled A passes through coordinates (0,0) and (3,6). This means that for every 3 markers, the total cost is 6 dollars.
Therefore, if we have 10 markers, we can set up a proportion:
3 markers / 6 dollars = 10 markers / x dollars
Simplifying the proportion, we get:
3/6 = 10/x
Cross multiplying, we get:
3x = 60
Dividing both sides by 3, we get:
x = 20
Therefore, the total cost for buying 10 of the type A markers would be $20.00.