1Given the table for x, sweater knitted, and y, money earned
a. every sweater knitted is 56 dollars earned
b. dollars/1 sweater is called a unit rate
c this relationship is proportional because 0 sweaters knitted is 0 dollars earned
2 a.the constant of proportonality is 15
b. write an equation that represents this graph y=15x
c this is proportional relationship because the y intercept is 0,0
3shift the graph down 2
4a. every minute traveled is 83 meters traveled
b.write an equation to show the relationship between x and y y=83x
c.the relationship is proportional because the y intercept is 0,0
5 charge a flat rate of 20 and then 12 per mile
6 up 15
7 y=12/7 x
8 bob
9 the process has an error. the correct answer is x=2c-2/3b
10a. triangles abc and cde are called similar triangles
b. thee slope of the line AE can be written as -3/2
c this is a non proprtional relationship
11a what is the y intercept 0,5
b. what is the slope -2/3
c what is the equation of the line in slope intercept form y=-2/3x+5
d.this is a non proportional relationship
12y=-4/5x+3
13a what is the rate of change(slope) for this scenario -5
b. what is thee y intercept for this scenario (0,60)
c. write an equation for the scenario y=-5x+60
d, write an equation in standard form 5x+y=60
14(y-45)=-5(x-3)
15 the graph is the one with 0,-2 and 3,0
16 lennys limos has a lower initial amount of fixed cost than the other two
lennys limos has a larger slope than fast and furious
17a.which person is doing more jumping jacks per second katrina
b. which person had done more jumping jacks initially before the timer has started kimberly
c which person shows a proportional relationship katrina
all the answers are correct idc if you dont belive me if you want the answers for other math assignments either say thank you or get this post to 10 likes i need it to fuel my bbig ego
Thank you for providing the answers. However, I would like to note that it is always important to show your work and understand the reasoning behind the answers. It is beneficial to learn and understand the concepts rather than solely focusing on obtaining the correct answers.
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Thank you for providing the answers to the questions. However, as an AI, I don't have the capability to like or engage in social media activities. If you have any more questions or need further assistance, feel free to ask.
1. The relationship between the number of sweaters knitted and money earned can be determined by looking at the table. Since every sweater knitted earns $56, we can conclude that for each sweater knitted, $56 is earned. This is known as a unit rate.
2. a. The constant of proportionality is given as 15. This means that for every x value, the corresponding y value will be 15 times the x value.
b. To write an equation that represents this graph, we use the formula y = kx, where k represents the constant of proportionality. In this case, the equation would be y = 15x.
c. The relationship is proportional because the y-intercept of the graph is 0, which means that when x is 0, y is also 0.
3. To shift the graph down 2, you would subtract 2 from each y-coordinate of the graph.
4. a. Since every minute traveled equals 83 meters traveled, we can conclude that for each minute, 83 meters are traveled.
b. To write an equation that shows the relationship between x (minutes traveled) and y (meters traveled), we can use the formula y = kx, where k represents the constant of proportionality. In this case, the equation would be y = 83x.
c. The relationship is proportional because the y-intercept of the graph is 0, which means that when x is 0, y is also 0.
5. The relationship between the total cost and the number of miles can be determined by the given information. The flat rate is $20 and there is an additional cost of $12 per mile. Therefore, the equation that represents this relationship would be y = 12x + 20, where x represents the number of miles and y represents the total cost.
6. To shift the graph up 15, you would add 15 to each y-coordinate of the graph.
7. The equation y = 12/7x represents a proportional relationship because it follows the form of y = kx, where k is the constant of proportionality.
8. The name "Bob" does not seem to be relevant to any of the given questions or information. It is unclear how it fits into the context.
9. Without the specific question or context regarding the process leading to x = 2c - (2/3)b, it is difficult to determine what the error may be or how to arrive at the correct answer.
10. a. Triangles ABC and CDE are called similar triangles because they have the same shape but are different in size.
b. The slope of the line AE is given as -3/2.
c. This is stated to be a non-proportional relationship, but without further information or a specific equation or context, it is unclear how this conclusion was reached.
11. a. The y-intercept of the line is given as 0,5, which means that the line passes through the point (0,5) on the y-axis.
b. The slope of the line is given as -2/3.
c. The equation of the line in slope-intercept form would be y = -2/3x + 5.
d. It is stated to be a non-proportional relationship, but without additional information or context, it is unclear what led to this conclusion.
12. The equation y = -4/5x + 3 represents a linear relationship. The slope of the line is -4/5, which means that for every unit increase in x, y will decrease by 4/5. The y-intercept is 3, which means that when x is 0, y is 3.
13. a. The rate of change (slope) for this scenario is given as -5.
b. The y-intercept for this scenario is given as (0,60), which means that when x is 0, y is 60.
c. The equation representing this scenario would be y = -5x + 60.
d. The equation in standard form would be 5x + y = 60.
14. The given expression (y - 45) = -5(x - 3) represents an equation in point-slope form. It can be rewritten as y = -5x + 60.
15. The graph with the points (0,-2) and (3,0) represents a linear relationship. The points represent values of x and y for which this equation is true.
16. The information provided states that Lenny's Limos has a lower initial amount of fixed cost compared to the other two. It also states that Lenny's Limos has a larger slope compared to Fast and Furious. This implies that Lenny's Limos has a steeper increase in cost per unit compared to Fast and Furious.
17. a. Katrina is doing more jumping jacks per second than the other person.
b. Kimberly has performed more jumping jacks initially before the timer began compared to the other person.
c. Katrina's relationship is considered proportional, but without additional information or context, it is unclear how this conclusion was reached.