1. The graph shows the distance a ghost crab can run over time.
A graph is shown in the xy-plane. The x-axis is labeled as Time in seconds and the y-axis is labeled as Distance in Meters. The values on the x-axis ranges from 0 to 9 in increments of 1 and the values on the y-axis ranges from 0 to 45 in increments of 5. A line starts from the origin, goes up, and passes through the points (3, 5), (6, 10), and so on.
Let d equal the distance in meters and t equal the time in seconds. Which is a direct variation equation for this relationship?
A.
d
=
3
5
t
B.
d
=
5
3
t
C.
t
=
5
3
d
D.
t
=
2
5
d
2.Which of the following graphs shows a direct variation?
3.Which graph displays equivalent ratios? Select all that apply.
4.The relationship between the number of girls who are in the middle school and high school jazz bands is proportional. What is the constant of proportionality?
Jazz Band Number of Girls Total Members
Middle School 6 15
High School 8 20
A.
3
10
B.
2
5
C.
8
15
D.
3
4
5.A real estate agent received a $17,500 commission on the sale of a $350,000 house on Walnut Street. The same agent received a $20,000 commission on the sale of a house on Center Avenue. What was the sale price of the house on Center Avenue?
A.
$100,000
B.
$370,000
C.
$400,000
D.
$450,000
6.The number of pages Cameron reads varies directly with time in minutes. He can read 15 pages in 60 minutes. What is the constant of proportionality for the number of minutes to read 1 page.
7.In the graph, the amount of sales tax (t) is proportional to the price (p) of an item.
A graph is shown in the xy-plane. The x-axis is labeled as Price left parenthesis dollars right parenthesis and the y-axis is labeled as Tax left parenthesis cents right parenthesis. The values on the x-axis ranges from 0 to 4 in increments of 1 and the values on the y-axis ranges from 0 to 0 decimal point 4 0 in increments of 0 decimal point 1 0. A line starts from the origin, goes up and Five points are marked on the line with coordinates (0, 0), (1, 0 decimal point 0 6), (2, 0 decimal point 1 2), (3, 0 decimal point 1 8), and (4, 0 decimal point 2 4).
Which equation represents this relationship?
A.
t = 0.05p
B.
t = 0.06p
C.
t = 0.96p
D.
t = 1.6p
A.
1
4
B.
1
2
C.
2
D.
4
8.Consider the graph shown.
A graph is shown in the xy-plane. The values on the x-axis ranges from 0 to 1 decimal point 5 in increments of 0 decimal point 5 and the values on the y-axis ranges from 0 to 800 in increments of 200. A line starts from a point 100 on the y-axis, goes up, and passes through the points (0, 100), (0 decimal point 3, 200), (0 decimal point 9, 400), and (1 decimal point 5, 600).
Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality. Explain your reasoning.
9.Determine the constant of proportionality for the graph.
A graph is shown in the xy-plane. The x-axis is labeled as Items and the y-axis is labeled as Profit left parenthesis dollars right parenthesis. The values on the x-axis ranges from 0 to 40 in increments of 10 and the values on the y-axis ranges from 0 to 8 in increments of 2. Five points are marked on the graph with coordinates (0, 0), (10, 2), (20, 4), (30, 6), and (40, 8).
A.
1
5
B.
2
C.
5
D.
10
10.Tanya polled boys and girls in her grade to determine how many prefer math to other subjects. Her results are shown in the table.
Students Prefer Math Total Students
Boys 14 30
Girls 16 32
Which is a true statement?
A.
The relationship is proportional because
16
−
4
=
2
and
32
−
30
=
2
.
B.
The relationship is proportional because
30
−
14
=
16
and
32
−
16
=
16
.
C.
The relationship is not proportional because
14
16
=
7
8
and
30
32
=
15
16
.
D.
The relationship is not proportional because
14
30
=
7
15
and
16
32
=
1
2
.
i need help these are from the complying with title ix math Connexus quiz thx for your help have a great day