Based on the given original and dilated points, you can notice that the dilation is:
(x,y) => (1/3 x , 1/3 y)
This can be verified with any point of the figure, for example:
C(6,-3) => C'(1/3 (6) , 1/3 (-3)) = C'(2 , -1)
Hence, the answer is:
(1/3 x , 1/3 y)
The slope of the line shown in the graph is 4.5 .
In the question ,
it is given that ,
the amount of grapes is represented on x axis . and
the cost for that grape in the grocery store is represented on y axis .
to find the slope we need two points on the line ,
from the graph we can take two points as (1 , 4.5) and (2 , 9) ,
the slope can be calculated using the formula
slope = (change in y coordinate)/(change in x coordinate)
slope = (9 - 4.5)/(2 - 1)
slope = 4.5/1
slope = 4.5 .
Therefore , The slope of the line shown in the graph is 4.5 .
The given question is incomplete , the complete question is
The graph below shows the cost of grapes at a grocery store. What is the slope of the line?
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Answer:
13
Step-by-step explanation:
It's given that 2 students borrowed 0 books, 12 borrowed 1 book, 10 borrowed 2 books, and 6 borrowed 3 or more books. The average of books per student is 2.
To analyse the problem, let a, b, c, d, e, and f be the number of books borrowed by each of the 6 students who borrowed 3 or more, as the maximum must be one of those 6.
The average is calculated by adding up the borrowed books from all students, and then diving it 30 (the number of students). This would be :




The maximum value for any student would be found when all other 5 students borrowed the minimum, which is 3 in this case. So set them all but one equal to 3 :



So the maximum is 13.