Part A.
Question
Each table displays a linear or an exponential relationship modeling a situation. Use the patterns in the tables to find the missing values.

Type the correct answer in each box. Use numerals instead of words.

Situation W Situation Z
x y
11 62
12
13 72
14 77
15 82
x y
0 2
1 6
2 18
3
4 162

Part B
Question
Compare the tables for situations W and Z. Use the patterns in the tables to complete the statements.

Select the correct answer from each drop-down menu.



Situation W represents
relationship because it has a
of
.

Situation Z represents
relationship because it has a
of
.
Part C.
Use what you’ve found out about the relationship between the variables in each situation to model them using other methods.

Question
Write equations for situation W and situation Z. Then graph each equation, and use the mark button to label each graph.

Part D
Consider each representation of situations W and Z. Referring to the tables, graphs, and equations, compare the two situations. Describe the similarities and differences between the two.
Part E
Another way to represent a relationship is with a verbal description of the scenario. Determine which descriptions could be used to model situations W and Z.

Drag each description to the correct location on the table.

The total cost of an order, y, will
include the price of each
notebook, x, plus shipping.The number of books Sandra
reads, y, triples each year, x.Some friends started a book club
where y is the number of
members, and each member
must recruit the same number
of new members each year, x.
Part F
Use the equations from part C to complete these statements about the scenarios from part E.

Type the correct answer in each box. Use numerals instead of words.

Sandra initially read
books.

The shipping cost for each order is $
.

Each book club member needs to recruit
people to join the club each year.

Part A Question Each table displays a linear or an exponential relationship modeling a situation Use the patterns in the tables to find the missing values Type class=
Part A Question Each table displays a linear or an exponential relationship modeling a situation Use the patterns in the tables to find the missing values Type class=
Part A Question Each table displays a linear or an exponential relationship modeling a situation Use the patterns in the tables to find the missing values Type class=
Part A Question Each table displays a linear or an exponential relationship modeling a situation Use the patterns in the tables to find the missing values Type class=
Part A Question Each table displays a linear or an exponential relationship modeling a situation Use the patterns in the tables to find the missing values Type class=

Respuesta :

Answer:

table 1 is linear, table 2 is expo. (12,67), (3, 54)

Step-by-step explanation:

Situation W is increasing by 5 on the y-values (linear)

Situation Z is multiplying previous value by 3 (x^3)

Table W= 7+5x

Table Z= 2+a^3

ANSWER: Given, the valid answers are:

Part A:

Situation W

x

11

12

13

14

15

y

62

67

72

77

82

Situation Z

x

0

1

2

3

4

y

2

6

18

54

162

Part B: Situation W represents a linear relationship because it has a common difference of 5. Situation Z represents an exponential relationship because it has a common ratio of 3.

Part C: Situation W is the sloped line, and Situation Z is the curved line (graphs attached below).

Part D: The similarities between the tables is that Situation W adds by 5 each time (62, 67, 72, 77, 82 etc), while Situation Z multiplies by 3 each time (2, 6, 18, 54, 162 etc). The differences between the two is that Situation W adds by 5 on the right side of the table and starts out by 11 on the left side of the table, while Situation Z starts out by 0 on the left side of the table and multiplies by 3 on the right side of the table. The similarities between the graphs is that Situation W has positive correlation / is positive, while Situation Z starts out as negative infinity then transforms into positive infinity. The differences between the graphs is that Situation W is a sloped line, while Situation Z is curved infinity. The similarity(s) between the equations is that both Situation W and Situation Z follow the y=mx+b formula. The difference(s) between the equations is that Situation W doesn't have a multiplication sign in it, while Situation Z does.

Part E:

Situation W

Some friends started a book club where y is the number of members, and each member must recruit the same number of new members each year, x.

Situation Z

The total cost of an order, y, will include the price of each notebook, x, plus shipping.

The number of books Sandra reads, y, triples each year, x.

Part F:

Sandra initially read 2 books.

The shipping cost for each order is $7.

Each book club member needs to recruit 5 people to join the club each year.

EXPLANATION: valid

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