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amoakoh800003
01.11.2019 •
Mathematics
This question has 2 parts. answer both parts. sara started with 12 comic books in her collection. she collected the same number of comic books each month until she had 20 comic books in the 4th month. ashton started with 2 comic books in his collection and continues to collect 3 comic books each month.
part a
interpret the origin on the graph. also, describe the scale of each axis by telling what does each unit on the x-axis and the y-axis represent.
part b
compare the slope and y-intercept for the graphs of each function in terms of the quantities.
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Ответ:
see the explanation
Step-by-step explanation:
Part A
Sara
Find out the equation of the line
The equation of the line in slope intercept form is equal to
where
m is the slope
b is the y-intercept
x is the number of months
y is the number of comic books
we have
Find the slope m
we have the points
(0,12) and (4,20)
substitute
Each unit on the x-axis represent 0.5 months and each unit on the y-axis represent 4 comic books
The origin of the graph is the point (0,12), this point represent the y-intercept or the initial value (the value of y when the value of x is equal to zero)
Ashton
Find out the equation of the line
The equation of the line in slope intercept form is equal to
where
m is the slope
b is the y-intercept
x is the number of months
y is the number of comic books
we have
substitute
The origin of the graph is the point (0,2), this point represent the y-intercept or the initial value (the value of y when the value of x is equal to zero)
Part B
Compare the slope and y-intercept for the graphs of each function in terms of the quantities
Sara
Ashton
therefore
Sara's graph has the greater y-intercept than Ashton's graph
Ashton's graph has the greater slope than Sara's graph
Ответ:
hmm
Step-by-step explanation: