Question 1

If x increases and as a result y decreases,then x and y are

Accepted Answer

When x increases and y decreases, it indicates a negative relationship between x and y. As one variable increases, the other decreases, which means they are inversely or negatively related.

Question 2

Consider a diagram in which the variable measured on the y-axis remains constant while the variable measured on the x-axis increases.The graph of these two variables is a

Accepted Answer

When the variable measured on the y-axis remains constant while the variable measured on the x-axis increases, the line connecting the points will be a horizontal line. This is because the y-value is not changing even as the x-value increases.

Question 3

If the change in y = -4 and the change in x = 2,there is

Accepted Answer

The change in y is negative (-4) while the change in x is positive (2), indicating a negative relationship between y and x. This means that as x increases, y decreases and vice versa.

Question 4

-In the above figure,no relationship between x and y is shown in Figure

Accepted Answer

The answer of 
-In the above figure,no relationship between x...

Question 5

'As the price of petrol increases,fewer people buy cars that are petrol guzzlers.' A graph showing this relationship would

Accepted Answer

This relationship would have a negative slope because as the price of petrol increases (x-axis), the number of people buying petrol guzzlers decreases (y-axis). This is a negative correlation, meaning the variables are inversely related.

Question 6

Whenever one variable increases,another variable decreases.The two variables are

Accepted Answer

When one variable increases and the other decreases, they are said to be negatively related. This is because as one goes up, the other goes down, indicating an inverse or negative relationship between the two variables.

Question 7

An independent relationship between two variables is shown in a graph by

Accepted Answer

An independent relationship between two variables means that changes in one variable do not affect the other. This is represented by a horizontal or vertical line on a graph, indicating no correlation between the variables.

Question 8

-In the diagram above,which figure(s)show(s)a direct relationship between the variables?

Accepted Answer

A direct relationship between variables is typically represented by a positive slope in a graph, where as one variable increases, the other also increases. Without the diagram, we assume option A is correct based on the provided choices.

Question 9

If x increases whenever y decreases,then x and y are

Accepted Answer

When two variables have a relationship where when one increases, the other decreases, they are said to have a negative relationship. This is also known as a inverse relationship or a negative correlation. Therefore, option C is the best choice.

Question 10

If two variables are unrelated,their graph is

Accepted Answer

If two variables are unrelated, there is no relationship between them and plotting them against each other would result in a scatter plot with no discernible pattern. The only possible patterns on a scatter plot with unrelated variables are horizontal or vertical lines. This is because one variable does not influence the other, so the value of one variable would not affect the values of the other variable.

Question 11

-In the diagram above,which figure(s)show(s)an inverse relationship between the variables?

Accepted Answer

The answer of 
-In the diagram above,which figure(s)show(s)an inverse relationship...

Question 12

In the above figure,as the y variable increases,

Accepted Answer

The answer of 
In the above figure,as the y variable...

Question 13

Which of the following statements is correct?

Accepted Answer

When a line slopes upwards moving to the right, the variable measured on the x-axis and the variable measured on the y-axis are directly related. This means that as the value of the x-axis variable increases, the value of the y-axis variable also increases. Option A is incorrect because if two variables are directly related, a graph of the two variables has a positive slope. Option B is incorrect because when a line slopes downwards moving to the right, the variable measured on the x-axis and the variable measured on the y-axis are inversely related. Option D is incorrect because the statement indicates a direct relationship between temperature and ice cream consumption, not an inverse relationship.

Question 14

A graph shows the price of a kilo of cucumbers on the vertical axis and the quantity of new cars sold by Honda on the horizontal axis.The price of a kilo of cucumbers remains constant as the quantity of new cars sold increases.The graph of these data is a

Accepted Answer

Since the price of a kilo of cucumbers remains constant as the quantity of new cars sold increases, the graph of these data will be a horizontal line.

Question 15

Matt pays a $50 a month membership fee at Bruno's Gym.He can exercise at the gym as many times as he wishes.If the membership fee is measured along the vertical axis and the number of times he exercises is measured along the horizontal axis,the graph between his membership fee and the number of times he exercises will

Accepted Answer

Since Matt can exercise at the gym as many times as he wishes and his membership fee is a fixed amount of $50 per month, the graph between his membership fee and the number of times he exercises will be a horizontal line at y=50.

Question 16

-In the diagram above,which figure(s)show(s)no relationship between the variables?

Accepted Answer

The answer of 
-In the diagram above,which figure(s)show(s)no relationship between...

Question 17

-In the above figure,a negative relationship between x and y is shown in Figure

Accepted Answer

The answer of 
-In the above figure,a negative relationship between...

Question 18

Whenever people's incomes increase,they buy more guitars.Hence a scatter diagram shows that the relationship between income and guitars purchased is

Accepted Answer

The statement "Whenever people's incomes increase, they buy more guitars" indicates a positive relationship between income and guitars purchased. As income increases, the number of guitars purchased also increases, indicating a positive correlation.

Question 19

As the price of home-heating oil rises,families buy less home-heating oil.Hence,a scatter diagram with the price of home-heating oil on the vertical axis and the quantity purchased on the horizontal axis reveals a ________ relationship.

Accepted Answer

As the price of home-heating oil increases, families buy less of it. This means that there is a negative relationship between the price of home-heating oil and the quantity purchased. As one variable increases, the other variable decreases, resulting in a negative or inverse relationship.

Question 20

As the number of days without rain increases,the amount of wheat grown per acre declines.A graph showing this relationship shows

Accepted Answer

The relationship described is a negative one, where an increase in days without rain leads to a decrease in wheat growth. This would be represented by a line with a negative slope, which is not listed among the options.

Quiz 1: Getting Started