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Question 1
1. 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 dollars earned.
b. Dollars/1 ticket is called a .
c. This relationship is , because 0 tickets sold is dollars earned.
Question 2
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 meters are traveled.
b. Write an equation to show the relationship between x and y.
c. This relationship is because the y-intercept is .
Question 3
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
b. Write an equation that represents the linear graph.
c. This is a proportional relationship because the graph shows .
Question 4
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 minus 3
y=23x
y is equal to 2 thirds x
y=2x+3
y is equal to 2 x plus 3
Question 5
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
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
a. Every ticket sold is how many dollars earned.
b. Dollars/1 ticket is called a []
c. This relationship is [], because 0 tickets sold is [] dollars earned.
hey bot, can you answer the above question?
i thought that was going to work
Question 1:
a. Every ticket sold is dollars earned.
Response: 12
b. Dollars/1 ticket is called a .
Response: 12
c. This relationship is , because 0 tickets sold is dollars earned.
Response: proportional
Question 2:
a. Every minute meters are traveled.
Response: 19
b. Write an equation to show the relationship between x and y.
Response: y = 19x
c. This relationship is because the y-intercept is .
Response: linear, (0,0)
Question 3:
a. The constant of proportionality is
Response: 4.5
b. Write an equation that represents the linear graph.
Response: y = 4.5x
c. This is a proportional relationship because the graph shows .
Response: a straight line passing through the origin
Question 4:
4. Solve this equation for y: y^3 = 2x
Response: y = 2x^(1/3)
Question 5:
a. Response area: 7
b. Response area: 350
c. Response area: 50
d. Response area: 300
Question 1:
a. To find the number of dollars earned for every ticket sold, we divide the dollars earned by the number of tickets. So, the response for this question is "a. Every ticket sold is dollars earned."
b. Dollars/1 ticket is called the "unit price". So, the response for this question is "b. Dollars/1 ticket is called a unit price."
c. In this case, when 0 tickets are sold, the amount of dollars earned is $0. So, the response for this question is "c. This relationship is a linear relationship, because 0 tickets sold is $0 dollars earned."
Question 2:
a. To find the distance traveled per minute, we divide the distance by the time in minutes. So, the response for this question is "a. Every minute meters are traveled."
b. To write an equation to show the relationship between x (time in minutes) and y (distance traveled), we can use the equation: y = mx + b, where m is the slope and b is the y-intercept. The slope can be calculated as the change in y divided by the change in x. So, the response for this question is "b. Write an equation to show the relationship between x and y: y = (23/3)x - 33."
c. In this case, the y-intercept is -33, which means when x (time in minutes) is 0, the distance traveled is -33 meters. So, the response for this question is "c. This relationship is a linear relationship because the y-intercept is -33."
Question 3:
a. The constant of proportionality can be found by calculating the slope of the graph. The slope is the change in y divided by the change in x. So, the response for this question is "a. The constant of proportionality is 19."
b. To write an equation that represents the linear graph, we can use the equation: y = mx, where m is the slope. The slope can be calculated as the change in y divided by the change in x. So, the response for this question is "b. Write an equation that represents the linear graph: y = 19x."
c. This is a proportional relationship because the graph shows a straight line passing through the origin (0,0), which indicates that y is directly proportional to x. So, the response for this question is "c. This is a proportional relationship because the graph shows a straight line passing through the origin."
Question 4:
To solve the equation y^3 = 2x for y, we need to take the cube root of both sides of the equation. So, the response for this question is "y is equal to the cube root of 2x."
Question 5:
In the given scenario, you make 50 texts every 2 days. So, we can fill in the missing parts of the table as follows:
a. 7 days -> 7/2 = 3.5 (rounded to the nearest whole number) -> 3.5 * 50 = 175 texts. So, the response for this question is "a. Response area: 175."
b. 14 days -> 14/2 = 7 -> 7 * 50 = 350 texts. So, the response for this question is "b. Response area: 350."
c. We already calculated the number of texts for 7 days as 175. So, the response for this question is "c. Response area: 175."
d. 60 days -> 60/2 = 30 -> 30 * 50 = 1500 texts. So, the response for this question is "d. Response area: 1500."
a. 7
b. 350
c. 50
d. 300