2. Given the table for x, time in minutes and y, distance traveled:

Question

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 .

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=6xy is equal to 6 x

y=2x−3y is equal to 2 x minus 3

y=2x+3y is equal to 2 x plus 3

y=23xy is equal to 2 thirds x
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.

b.

c.

d.



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Answer 1

Let's tackle each part of your questions based on the provided information.

2. Given the table for x and y:

a. Every minute Response area: 19 meters are traveled.
(We can find this by dividing distance by time: for example, at x = 4, y = 76, which gives us 76/4 = 19).

b. Write an equation to show the relationship between x and y.
Response area: y = 19x
(This suggests a linear relationship where y depends linearly on x).

c. This relationship is Response area: proportional because the y-intercept is Response area: 0.
(A true proportional relationship passes through the origin, meaning when x = 0, y = 0).

3. Use the graph to answer the questions:

(This assumes familiarity with a graph as there is no graph given here). a. The constant of proportionality is Response area: 19.
(This is the slope of the line representing the relationship).

b. Write an equation that represents the linear graph.
Response area: y = 19x.

c. This is a proportional relationship because the graph shows Response area: a straight line through the origin.
(The definition of a proportional relationship in the context of a graph).

4. Solve this equation for y: \( y^3 = 2x \)

Responses:
y = 2^{1/3} x is equal to (1/3)√(2) x.

To solve for y:

1. Take the cube root of both sides:
   \( y = (2x)^{1/3} \)

5. Over the summer, you text a bunch. Let’s say you make 50 texts every 2 days.

x - # of days:

• 0
• a. 2
• 7
• b. 14

y - # of texts:

• c. 0
• 75
• d. 350 (because for 14 days, you would have made (50 texts/2 days) * 14 = 350 texts).

Putting all the responses together:

• a: 2
• b: 14
• c: 0
• d: 350

Feel free to adjust if additional context or specific options are needed!