Answer:
see the explanation
Step-by-step explanation:
Part A
<u>Sara</u>
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
<em>Find the slope m</em>
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)
<u>Ashton</u>
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
<em>Sara</em>
<em>Ashton</em>
therefore
Sara's graph has the greater y-intercept than Ashton's graph
Ashton's graph has the greater slope than Sara's graph