Answer:
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
[tex]y=mx+b[/tex]
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
[tex]b=12\ comic\ books[/tex]
Find the slope m
we have the points
(0,12) and (4,20)
[tex]m=(20-12)/(4-0)\\m=2\ comic/month[/tex]
substitute
[tex]y=2x+12[/tex]
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
[tex]y=mx+b[/tex]
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
[tex]b=2\ comic\ books[/tex]
[tex]m=3\ comic/month[/tex]
substitute
[tex]y=3x+2[/tex]
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
[tex]b=12\ comic\ books[/tex]
[tex]m=2\ comic/month[/tex]
Ashton
[tex]b=2\ comic\ books[/tex]
[tex]m=3\ comic/month[/tex]
therefore
Sara's graph has the greater y-intercept than Ashton's graph
Ashton's graph has the greater slope than Sara's graph
