Question 1

Question

A)Which of the following properly describe “slope”? Select the three that apply.(3 points)
Responses

x2−x1y2−y1
the fraction with numerator x sub 2 minus x sub 1 and denominator y sub 2 minus y sub 1

y2−y1x2−x1
the fraction with numerator y sub 2 minus y sub 1 and denominator x sub 2 minus x sub 1

runrise
the fraction with numerator r u n and denominator r i s e

riserun
the fraction with numerator r i s e and denominator r u n

change in y-value over change in x-value
change in y-value over change in x-value
Question 2
A)(3 points)
Larry recorded his time as he ran.

What was his average speed from hour 2 to hour 4?

What was his average speed from hour 4 to hour 7?

Did he speed up, slow down, or stay the same?

Question 3
A)

What is the slope of the line on the graph?

(1 point)
Responses

1
1

2
2

3
3

12
1 half
Question 4
A) (3 points)
Find the slope from the graph and from the table to compare the speeds of two marathon runners.

What is the constant speed of Fast Freddy?
mi/min

What is the constant speed of Speedy Sammy?
mi/min

Who ran faster?

Question 5
A)
Which line has the steeper slope?

(1 point)
Responses

You cannot calculate the slopes of the lines from the graph.
You cannot calculate the slopes of the lines from the graph.

Line A
Line A

The lines have the same slope.
The lines have the same slope.

Line B
Line B

Answer 1

Sure! I can help you with each of these questions one by one.

Question 1: Slope Descriptions (Select 3)

The concept of "slope" in mathematics typically refers to the "rise over run," which is a measure of how much a line rises or falls as it moves horizontally. The slope can be calculated using the coordinates of two points on a line (x1, y1) and (x2, y2).

The three correct answers from the responses provided are:

1. y2−y1/x2−x1 - This is the correct formula for calculating slope.
2. riserun - This represents rise (change in y) over run (change in x), which is another way to describe slope.
3. change in y-value over change in x-value - This description accurately defines the concept of slope.

Question 2: Average Speed Calculations To answer this question, I would need the data for Larry's recorded times and distances for each hour. Please provide the data, and I can assist you in calculating the average speeds.

Question 3: Slope of the Line on the Graph Without the graph available, I cannot provide the correct answer. However, if you provide the coordinates or the context of the line, I can help you determine the slope.

Question 4: Comparing Speeds of Marathon Runners Similar to Question 2, I would need data regarding the distance each runner covered over a period of time to find their constant speeds. Please provide that data.

Question 5: Which Line has a Steeper Slope Without visual access to the graph or the specific lines mentioned, I can't determine which line has a steeper slope. Typically, you compare the slopes of the lines (rise/run), and the line with the greater absolute value of slope is considered steeper.

If you can provide specific details or data points for any of these questions, I would be more than happy to help you solve them!