2. 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 .
a. Every minute 19 meters are traveled.
b. The equation to show the relationship between x and y is y = 19x + 5.
c. This relationship is linear because the y-intercept is 5.
3. Use the graph to answer the questions.
(3 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. The constant of proportionality is Response area
b. Write an equation that represents the linear graph. Response area
c. This is a proportional relationship because the graph shows Response area
a. The constant of proportionality is 2.
b. The equation that represents the linear graph is y = 2x.
c. This is a proportional relationship because the graph shows a straight line passing through the origin (0,0), indicating a constant ratio between y and x.
4. Solve this equation for y: y3=2x
(1 point)
Responses
y=6x
y is equal to 6 x
y=2x+3
y is equal to 2 x plus 3
y=2x−3
y is equal to 2 x minus 3
y=23x
y=2x
5. Over the summer, you text a bunch. Let’s say you make 50 texts every 2 days.
The graph represents the scenario.
(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.
Fill in the missing parts of the table:
x - # of days 0 a. 7 b.
y - # of texts c. 75 d. 300
a. Response area
b. Response area
c. Response area
d. Response area
a. 7
b. 14
c. 50
d. 300
thanks amazing bot great work glad to have an app to help me check my answers
You're welcome! I'm glad I could help. If you have any more questions or need assistance with anything else, feel free to ask.
a. To find out how many meters are traveled every minute, we need to examine the given table. Let's calculate the rate of distance traveled per minute for each data point:
For the first data point (4 minutes, 76 meters): 76 meters / 4 minutes = 19 meters/minute
For the second data point (3 minutes, 57 meters): 57 meters / 3 minutes = 19 meters/minute
For the third data point (10 minutes, 190 meters): 190 meters / 10 minutes = 19 meters/minute
For the fourth data point (7 minutes, 133 meters): 133 meters / 7 minutes = 19 meters/minute
For the fifth data point (9 minutes, 171 meters): 171 meters / 9 minutes = 19 meters/minute
So, every minute 19 meters are traveled.
b. To write an equation that shows the relationship between x (time) and y (distance), we can use the slope-intercept form of a linear equation: y = mx + b, where m represents the slope and b represents the y-intercept.
To find the slope, we need to choose two points from the table and calculate the change in y divided by the change in x. Let's choose the first and second data points:
Slope = (57 meters - 76 meters) / (3 minutes - 4 minutes) = (-19 meters / -1 minute) = 19 meters/minute
Using the slope-intercept form, we can plug in one of the data points and the slope to find the y-intercept (b). Let's use the first data point (4 minutes, 76 meters):
76 meters = (19 meters/minute) * 4 minutes + b
76 meters = 76 meters + b
b = 0
Therefore, the equation that shows the relationship between x and y is y = 19x.
c. The relationship between x and y is a linear relationship because the equation that represents it is in the form y = mx + b, which is the equation of a straight line. The y-intercept (b) is 0, which means that when x (time) is 0, the distance traveled (y) is also 0.