Use the image to answer the question.
An illustration shows a graph labeled Inches per Feet. The horizontal axis is labeled feet and ranges from 0 to 4 in increments of 1. The vertical axis is labeled Inches and ranges from 0 to 40 in increments of 4. An upward slanting line segment connects points plotted at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 12 right parenthesis, left parenthesis 2 comma 24 right parenthesis, and left parenthesis 3 comma 36 right parenthesis.
The proportional relationship between inches and feet is displayed on the graph. Derive the equation of the line through the origin.
(1 point)
Responses
y=12x
y equals 12 x
y=2x
y equals 2 x
y=36x
y equals 36 x
y=112x
The correct equation of the line through the origin is y=12x.
Use the table to answer the question.
x y (x, y)
0 (0, )
1 (1, )
2 (2, )
Complete the ordered pairs in the table by finding the y-value of the ordered pairs for the equation y=5x.
(1 point)
Responses
(0, 0), (1, 15) , (2, 25)
left parenthesis 0 comma 0 right parenthesis , left parenthesis 1 comma Start Fraction 1 over 5 End Fraction right parenthesis , left parenthesis 2 comma Start Fraction 2 over 5 End Fraction right parenthesis
(0, 0), (1, 5), (2, 10)
left parenthesis 0 comma 0 right parenthesis , left parenthesis 1 comma 5 right parenthesis , left parenthesis 2 comma 10 right parenthesis
(0, 0), (5, 1), (10, 2)
left parenthesis 0 comma 0 right parenthesis , left parenthesis 5 comma 1 right parenthesis , left parenthesis 10 comma 2 right parenthesis
(0, 0), (1, 5), (3, 15)
The correct completed ordered pairs for the equation y=5x are (0, 0), (1, 5), (2, 10).
Graph the proportional relationship y=−2x by plotting points.
To graph the proportional relationship y = -2x, we can plot a few points and connect them with a straight line.
Let's choose different values for x and find the corresponding value for y:
When x = 0, y = -2(0) = 0. So we have the point (0, 0).
When x = 1, y = -2(1) = -2. So we have the point (1, -2).
When x = 2, y = -2(2) = -4. So we have the point (2, -4).
When x = -1, y = -2(-1) = 2. So we have the point (-1, 2).
Plotting these points on a graph and connecting them with a straight line, we get:
```
|
40 |
|
30 |
| (2, -4)
20 | (1,-2)
|
10 |
|
| (-1,2)
0|_________
0 10 20 30 40
```
So the graph of the proportional relationship y = -2x is a straight line that passes through the points (0, 0), (1, -2), (2, -4), and (-1, 2).
Use the image to answer the question.
A coordinate plane ranges from negative 9 to 9 in unit increments on the x-axis and from 11 to negative 11 in unit increments on the y-axis. A line with arrows at both the ends joins two plotted points and extends beyond. The coordinates of the plotted points are: left parenthesis 0 comma 0 right parenthesis and left parenthesis 5 comma 1 right parenthesis.
Is this the correct graph of the equation y=15x?
(1 point)
Responses
Yes, it is the correct graph because the slope =51.
Yes, it is the correct graph because the slope equals Start Fraction 5 over 1 End Fraction .
No, it is not the correct graph because the ordered pair (1, 5) is not a point on the graph of y=15x
No, it is not the correct graph because the ordered pair left parenthesis 1 comma 5 right parenthesis is not a point on the graph of y equals Start Fraction 1 over 5 End Fraction x
Yes, it is the correct graph because the ordered pair (0, 0) satisfies the equation and the slope m=riserun=15.
Yes, it is the correct graph because the ordered pair left parenthesis 0 comma 0 right parenthesis satisfies the equation and the slope m equals Start Fraction rise over run End Fraction equals Start Fraction 1 over 5 End Fraction .
No, it is not the correct graph because the slope m=riserun=15.
No, it is not the correct graph because the slope m=riserun=15.
Given the table for x, tickets sold and y, money earned:
x - tickets 4 9 8 5 7
y - $ earned 48 108 96 60 84
(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
a. Every ticket sold is Response area dollars earned.
b. Dollars/1 ticket is called a Response area .
c. This relationship is Response area, because 0 tickets sold is Response area dollars earned.
The option "unit rate" (3 of 10) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.
a. Every ticket sold is 12 dollars earned.
b. Dollars/1 ticket is called a unit rate.
c. This relationship is proportional, because 0 tickets sold is 0 dollars earned.
Given the table for x, time in minutes and y, distance traveled:
x - time 4 3 10 7 9
y - distance 76 57 190 133 171
(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
a. Every minute Response area meters are traveled.
b. Write an equation to show the relationship between x and y. Response area
c. This relationship is Response area because the y-intercept is Response area