Question

3 Look at the three graphs below.
Graph A
y
Graph
Graph B
8
у

7
8
8
7
7
6
Distance (ft)
5
Distance (ft)
Distance (ft)
4
2
3
2
1
2
0
1
X
0
0 1 2 3 4 5 6 7 8
Time (s)
0
0 1 2 3 4 5 6 7 8
Time (s)
0 1 2 3 4 5 6 7 8
Time (s)
True
False
True
False
Based on the graphs, choose True or False for each statement.
a. Graph B shows a proportional relationship
between distance and time.
b. In Graph A, the constant of proportionality
between distance and time is
C. Graph C shows an object that speeds up over time.
d. The unit rate in Graph Bis 2 feet per second.
e. An object represented by Graph A is moving faster
than an object represented by Graph B.
True
DOU
False
True
False
True
False

Answer 1

Step-by-step explanation:

a. True

any linear function is a proportional relationship.

b. True

after 3 seconds it moved 4 ft. so 4/3.

c. True

distance grows at a higher rate than time.

speed is distance/time. so, yes, the speed increases.

d. false

the object moves 1 ft for every 1 second. not 2 ft per second.

e. True

we must not get confused by the absolute numbers, because graph B starts already at an offset of 1ft.

but from there it changes only with a rate of 1 ft per second.

while A changes 4 ft per 3 seconds 1.3333... ft per second, which is bigger than 1 ft per second, and therefore the object A is faster.