Yesterday, Jennifer walked several laps around a track. She made Graph 1 to describe the relationship between time and distance.

Question

2 years ago

5

Yesterday, Jennifer walked several laps around a track. She made Graph 1 to describe the relationship between time and distance.

Today, Jennifer alternated walking one lap and running one lap. She made Graph 2 to describe the relationship between time and distance.
Select True or False for each statement.

Graph 1. First quadrant of a coordinate plane with the X axis labeled Time and the Y axis labeled Distance. A line begins at 0, 0 and goes up and to the right. Graph 2. First quadrant of a coordinate plane with the X axis labeled Time and the Y axis labeled Distance. A graph made up of several line segments that vary in steepness begins at 0, 0 and goes up and to the right.
A
Graph 1 shows a proportional
relationship because the graph
is a line.

True False B
Graph 2 shows a proportional
relationship because the graph
passes through the origin.

True False C
Graph 2 does not show a
proportional relationship
because the graph is not a line.

True False D
Graph 1 shows a proportional
relationship because the graph
is a line that passes through the origin.

True False E
Graph 2 shows a proportional
relationship because the graph
is made up of lines.

True False F
Graph 2 shows a proportional
relationship because the graph
is increasing.

True False

Mathematics

1 answer:

almond37 [142] · Answer 1 · 2023-10-28T06:16:50+03:00

The answers to the statements that have been made here are:

False
false
true
true
false
false

<h3>How to check for the answers.</h3>

The first statement is false because the proportional relationship is not due to the fact that it is a line.
The second is also false given that the graph is not proportional as it goes through the origin of the graph.
True The graph in 2 does not show the proportional relationship given that it does not go by the origin.
This is true. It passes through the origin.
The lines contained in the graph would have to be similar first before it can show this relationship hence false.
The graph is not increasing and cannot show the relationship hence false.