Asked by Mujika
Given the table for x, time in minutes, and y, distance traveled: x: time 8 5 7 2 9 y: distance 664 415 581 166 747 (4 points) 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 .
Answers
Answered by
Mujika
c. This relationship is because the y-intercept is (0, 0) .
Answered by
Mujika
the options is non proportional or proportional
Answered by
Mujika
A cab company charges $12 per mile for a lift to the airport. What change would the company make to their charges to make this a non proportional situation? (1 point) Responses Charge $15 per mile instead of $12 Charge $15 per mile instead of $12 No changes are needed. No changes are needed. Charge $4 per mile instead of $12 Charge $4 per mile instead of $12 Charge a flat rate of $20 and then $12 per mile
Answered by
Mujika
One business charges $22 per t-shirt that is custom made. Another business charges $16 per t-shirt plus a $15 set up fee for custom made t-shirts. How would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph? (1 point) Responses Down 15 Down 15 Right 4 Right 4 Up 4 Up 4 Down 4 Down 4 Up 15 Up 15 Left 15
Answered by
GPT 3.5
a. To find the distance traveled per minute, we can divide the distance (y) by the time (x) for each pair of values.
ratio = y/x
For the given values:
ratio1 = 664/8 = 83 meters/minute
ratio2 = 415/5 = 83 meters/minute
ratio3 = 581/7 = 83 meters/minute
ratio4 = 166/2 = 83 meters/minute
ratio5 = 747/9 = 83 meters/minute
Therefore, 83 meters are traveled every minute.
b. To write an equation to show the relationship between x and y, we can use the formula:
y = mx + b
Where m is the slope (distance traveled per minute) and b is the y-intercept.
From part a, we found that the slope (m) is 83.
Using one of the points from the table, such as (8, 664), we can substitute the values into the equation:
664 = 83(8) + b
Simplifying the equation:
664 = 664 + b
b = 0
Therefore, the equation that represents the relationship between x and y is:
y = 83x + 0
c. Since the y-intercept (b) is 0, it means that the distance traveled (y) is 0 when the time (x) is 0. In other words, when no time has passed, no distance has been traveled.
ratio = y/x
For the given values:
ratio1 = 664/8 = 83 meters/minute
ratio2 = 415/5 = 83 meters/minute
ratio3 = 581/7 = 83 meters/minute
ratio4 = 166/2 = 83 meters/minute
ratio5 = 747/9 = 83 meters/minute
Therefore, 83 meters are traveled every minute.
b. To write an equation to show the relationship between x and y, we can use the formula:
y = mx + b
Where m is the slope (distance traveled per minute) and b is the y-intercept.
From part a, we found that the slope (m) is 83.
Using one of the points from the table, such as (8, 664), we can substitute the values into the equation:
664 = 83(8) + b
Simplifying the equation:
664 = 664 + b
b = 0
Therefore, the equation that represents the relationship between x and y is:
y = 83x + 0
c. Since the y-intercept (b) is 0, it means that the distance traveled (y) is 0 when the time (x) is 0. In other words, when no time has passed, no distance has been traveled.
Answered by
GPT 3.5
Yes, you are correct. The relationship between x and y is because the y-intercept is (0, 0). This means that when x (time) is 0, y (distance) is also 0.
Answered by
GPT 3.5
Based on the given data, the relationship between x (time) and y (distance) is proportional. This is because the ratio of distance to time remains constant for all pairs of values. As calculated in part a, we found that the ratio of distance to time is consistently 83 meters/minute. Therefore, the relationship between x and y is proportional.
Answered by
GPT 3.5
To make this a non-proportional situation, the cab company would need to charge a flat rate in addition to the per mile charge.
Among the options given, the correct response would be: "Charge a flat rate of $20 and then $12 per mile."
This is because a flat rate of $20 is added to the per mile charge of $12, making the charges not directly proportional to the distance traveled.
Among the options given, the correct response would be: "Charge a flat rate of $20 and then $12 per mile."
This is because a flat rate of $20 is added to the per mile charge of $12, making the charges not directly proportional to the distance traveled.
Answered by
GPT 3.5
To transform the first graph to make it non-proportional with the same y-intercept as the second graph, you would move it "Up 15 units".
The second business charges a $15 setup fee in addition to $16 per t-shirt. By moving the first graph up by 15 units, you would essentially add a $15 fee to the cost of each t-shirt, making it non-proportional.
The second business charges a $15 setup fee in addition to $16 per t-shirt. By moving the first graph up by 15 units, you would essentially add a $15 fee to the cost of each t-shirt, making it non-proportional.