(04.01 ) QUESTION #1. (100 POINTS HURRY PLS)
(Linear Relationships LC)

Which of the following tables represents a linear relationship that is also proportional?

#1.
x y
0 2
4 4
8 6
#2.
x y
0 0
2 1
4 2

#3.
x y
0 1
5 3
10 5

#4.
x y
0 3
3 7
6 11

QUESTION #2

(Linear Relationships LC)

Which linear graph represents a proportional relationship?

A: A graph of a straight line that passes through the points negative 1 comma 3 and 0 comma 0.

B: A graph of a straight line that passes through the points negative 4 comma negative 3 and 0 comma negative 2.

C: A graph of a straight line that passes through the points negative 1 comma 3 and 0 comma 3.

D: A graph of a straight line that passes through the points negative 2 comma negative 1 and negative 2 comma 0.

QUESTION #4.

The table shows the distance a bicyclist travels over time.

Time (hours) 2 3 7 13
Distance (miles) 10 15 35 65

Based on the table, which statement is true?

A: The table shows a linear relationship and a proportional relationship.

B: The table does not show a linear relationship or a proportional relationship.

C: The table shows a linear relationship, but not a proportional relationship.

D: The table shows a proportional relationship, but not a linear relationship.

QUESTION 4.

At a restaurant, hot chocolate can be purchased in three different cup sizes. A 12-ounce cup costs $1.97, a 16-ounce cup costs $2.62, and a 20-ounce cup costs $3.27.

Which statement is true based on the given description?

A: The description shows a linear relationship, but not a proportional relationship.
B: The description shows a linear relationship and a proportional relationship.
C: The description does not show a linear relationship or a proportional relationship.
D: The description shows a proportional relationship, but not a linear relationship.

QUESTION #5.

Which linear equation shows a proportional relationship?

A: y equals negative 2 times x minus one third
B: y equals one third times x minus 1
C: y equals five sixths times x
D: y equals 5 times x plus 3

QUESTION #6.

An indoor soccer field can be rented for personal use. The total cost for renting the field can be found by using the equation y = 225x2 + 60. The x-variable is the number of hours the field is being rented, the constant is the flat rate for renting the field, and the y-variable is the total cost, in dollars.

Which statement is true based on the given equation?

A: The equation shows a linear relationship, but not a proportional relationship.
B: The equation shows a linear relationship and a proportional relationship.
C: The equation does not show a linear relationship or a proportional relationship.
D: The equation shows a proportional relationship, but not a linear relationship.

QUESTION #7

A bowling alley charges $14 for the first game, $10 for the second game, and $5 per game for every game after that.

QUESTION. #8.
Which statement is true, based on the given description?

A: The description shows a linear relationship and a proportional relationship.
B: The description does not show a linear relationship or a proportional relationship.
C: The description shows a proportional relationship, but not a linear relationship.
D: The description shows a linear relationship, but not a proportional relationship.

A graph is a representation of data on cartesian coordinates. The nature of the graph could be used to deduce the relationship between the variables involved.

1) The linear graph that represents proportional relationship is a graph of a straight line that passes through the points negative 1 comma 3 and 0 comma 0.

2) The statement that is true about the description is that the description shows a linear relationship and a proportional relationship.

3) The linear equation that shows a proportional relationship is y equals 5 times x plus 3.

4) Given the equation; y = 225x^2 + 60, the true statement about the relation is that the equation does not show a linear relationship or a proportional relationship.

5) Given that bowling alley charges $14 for the first game, $10 for the second game, and $5 per game for every game after that, the description shows a linear relationship, but not a proportional relationship.

Learn more about a graph:https://brainly.com/question/3605446

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