What is indicated by a smooth, upward curving line on a graph?

a.) A linear relationship between x and y
b) A inverse relationship betweeen x and y
c.) A direct relationship between y and with the square of x
d.) No relationship between x and y is indicated

The slop of a straight line graph is the vertical change ____ the horizontal change.

a) minus
b) added to
c) divided by
c) multiplied by

A graph that is a hyperbola represents ____ relationship

a) an inverse
b) a quadratic
c) a linear
d) no

The slop of a position-time graph is the ____ of an object

a) displacement
b) velocity
c) acceleration
d) mass

The area under the curve on a velocity-time graph equals the

a) rise divided by the run
b) displacement from the orig position to its position at time t
c) relative velocity
d) instantaneous velocity

If anyone can help please... Its for my midterm review :X... Thanks!

Well I've already tried them and Im

I have no clue!

The slop of a straight line graph is the vertical change ____ the horizontal change.

b) added to

A graph that is a hyperbola represents ____ relationship

c) a linear

The slop of a position-time graph is the ____ of an object

a) displacement

The area under the curve on a velocity-time graph equals the

b) displacement from the orig position

By the way the first one:

What is indicated by a smooth, upward curving line on a graph?

c.) A direct relationship between y and with the square of x

Yes, like y = x^2

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a

b
c
d
a

To determine the answer to the given questions, let's break them down one by one:

1. What is indicated by a smooth, upward curving line on a graph?
To understand this, we need to look at the options that are provided:

a) A linear relationship between x and y: A linear relationship is represented by a straight line, not a curving line.
b) An inverse relationship between x and y: An inverse relationship would be indicated by a curved line that decreases as x increases, not an upward curving line.
c) A direct relationship between y and the square of x: This could be a possibility, as a smooth, upward curving line can represent a direct relationship between variables related to x and y. However, we cannot determine if it specifically represents a relationship with the square of x without more information.
d) No relationship between x and y is indicated: If there is no relationship between x and y, we would not expect to see a smooth, upward curving line. Therefore, this option can be eliminated.

Based on the options provided, the best answer is (c) A direct relationship between y and the square of x. However, it is important to note that more context or information is needed to give a definitive answer.

2. The slope of a straight line graph is the vertical change ____ the horizontal change.
To find the answer, let's look at the options:

a) Minus: This is incorrect. The slope of a straight line is not always negative.
b) Added to: This is incorrect. The concept of adding or subtracting does not apply to calculating slope.
c) Divided by: Correct! The slope of a straight line is found by dividing the vertical change (rise) by the horizontal change (run).
d) Multiplied by: This is incorrect. We do not multiply the vertical change by the horizontal change to find slope.

Thus, the correct answer is (c) Divided by.

3. A graph that is a hyperbola represents ____ relationship.
To answer this question, let's consider the options provided:

a) An inverse: Correct! A hyperbola represents an inverse relationship. As x increases, y decreases, and vice versa.
b) A quadratic: This is incorrect. A quadratic relationship would be represented by a parabolic graph.
c) A linear : This is incorrect. A linear relationship would be represented by a straight line graph.
d) No: This is incorrect. A hyperbola does represent a relationship, specifically an inverse relationship.

Therefore, the correct answer is (a) An inverse.

4. The slope of a position-time graph is the ____ of an object.
Let's analyze the options:

a) Displacement: This is incorrect. The slope of a position-time graph represents velocity, not displacement.
b) Velocity: Correct! The slope of a position-time graph represents the velocity of an object.
c) Acceleration: This is incorrect. The slope of a position-time graph does not represent acceleration.
d) Mass: This is incorrect. The slope of a position-time graph does not represent mass.

Hence, the correct answer is (b) Velocity.

5. The area under the curve on a velocity-time graph equals the:
Let's go through the options to determine the correct answer:

a) Rise divided by the run: This is incorrect. The area under the curve on a velocity-time graph does not directly relate to the rise or run.
b) Displacement from the original position to its position at time t: This is incorrect. The area under the curve represents a different concept than displacement.
c) Relative velocity: This is incorrect. The area under the curve does not directly relate to relative velocity.
d) Instantaneous velocity: This is incorrect. The area under the curve does not represent instantaneous velocity.

Therefore, none of the options provided accurately describes the area under the curve on a velocity-time graph. The correct answer is not listed.

Remember, understanding graphs and their relationships requires more detailed context and information. These explanations assume a general understanding of the concepts being discussed.

I already know. What do you think? My job is not to do the problems for you but to help if you get stuck. Try them first and then post when you get stuck.

The slope is the vertical change divided by the horizontal change.

A hyperbola is of form
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
the x^2 and y^2 tell you that it is quadratic

Change in position / change in time is measured in meters/second or miles per hour or some other unit of velocity

Yes, area under velocity versus time is position. This is the opposite of the last question.