Question
Use the table to answer the question.
x y
0 0
2 10
4 20
6 30
8 40
10 50
Determine the slope of the proportional relationship shown in the table.
(1 point)
Responses
The slope is 0.2.
The slope is 0.2.
The slope is 2.
The slope is 2.
The slope is 5.
The slope is 5.
The slope is 10.
The slope of the proportional relationship shown in the table is 5.
are u sure
Apologies for the incorrect response. Let's calculate the slope using the formula:
slope = (change in y)/(change in x)
Given the values in the table:
change in y = 50 - 0 = 50
change in x = 10 - 0 = 10
slope = 50/10 = 5
Therefore, the correct answer is: The slope of the proportional relationship shown in the table is 5.
Use the image to answer the question.
An illustration of a coordinate grid. The x-axis ranges from 0 to 60 in increments of 10. The y-axis ranges from 0 to 120 in increments of 20. Six unlabeled points are plotted and joined by a line. The six points are plotted at coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 10 comma 20 right parenthesis, left parenthesis 20 comma 40 right parenthesis, left parenthesis 30 comma 60 right parenthesis, left parenthesis 40 comma 80 right parenthesis, and left parenthesis 50 comma 100 right parenthesis. An upward slanting solid line with an arrow on the right end connects all the points.
Determine the slope of the proportional relationship in the graph.
(1 point)
Responses
The slope is 20.
The slope is 20.
The slope is 2.
The slope is 2.
The slope is 10.
The slope is 10.
The slope is 0.5.
The slope is 0.5.
Skip to navigation
To determine the slope of the proportional relationship in the graph, we can calculate the change in y divided by the change in x.
Looking at the points provided:
(0, 0)
(10, 20)
(20, 40)
(30, 60)
(40, 80)
(50, 100)
The change in y is 100 - 0 = 100.
The change in x is 50 - 0 = 50.
So, the slope is 100/50 = 2.
Therefore, the correct answer is: The slope of the proportional relationship in the graph is 2.
A computer programmer can write 8 programs in 2 weeks at a constant rate. How many programs a day can the programmer write?(1 point)
Responses
1.75 programs per day
1.75 programs per day
4.00 programs per day
4.00 programs per day
0.250 programs per day
0.250 programs per day
0.571 programs per day
To find the number of programs the programmer can write per day, we need to divide the total number of programs (8) by the total number of days (14 days in 2 weeks).
8 programs / 14 days = 0.571 programs per day
Therefore, the programmer can write approximately 0.571 programs per day.
Use the table to answer the question.
x y
0 0
5 6
10 12
15 18
20 24
25 30Write the equation of a proportional relationship in the form y=mx for the table shown.(1 point)
Responses
y=0.83x
y equals 0.83 x
y=1.2x
y equals 1.2 x
y=5x
y equals 5 x
y=6x
To find the equation of a proportional relationship in the form y = mx, we need to determine the value of 'm', which represents the slope.
Looking at the given table, we can calculate the slope using any two points. Let's use the points (0,0) and (5,6):
m = (change in y) / (change in x)
= (6-0) / (5-0)
= 6/5
= 1.2
Therefore, the equation of the proportional relationship is y = 1.2x.
Hence, the correct answer is: y equals 1.2x.
A cross-country runner is training by running laps around the track. The runner completes 2 laps every 3 minutes. Write an equation that relates the number of laps l to the number of minutes spent running, t .(1 point)
Responses
l=1.5t
l equals 1.5 t
t=1.5l
t equals 1.5 l
l=2t
l equals 2 t
t=2l