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.

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

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

d

step-by-step explanation:

i used the pitagoras theoreme