Name Date 7 th Math Extended Exit Ticket Proportional Reasoning

Transcription

1 Name Date 7 th Math Extended Exit Ticket Proportional Reasoning 1. The graph shows the distance in miles, d, a car travels in t hours. 2. Which table represents a proportional relationship? a) b) c) d) 3. The following table shows a proportional relationship. Find the missing value. a) What is the constant of proportionality (k)? b) Write an equation in the form of y = kx. c) What does your equation mean in the context of the graph? 4. Which is the best buy? Defend your answer with proof on a separate piece of paper. a) $12.60 for 7 bottles of juice b) $10.98 for 6 bottles of juice c) $18.10 for 10 bottles of juice d) $16.38 for 9 bottles of juice

2 5. The graph below shows the price Joanna sells tomatoes according to their weight. Which equation represents the unit rate? 7. The graph below shows the relationship between pounds of cheese bought at a deli and the total cost, in dollars, for the cheese. Pick one! y = x or y = x Select each statement about the graph that is true. Select all that apply. a) The point (0, 0) shows the cost is $0.00 for 0 pounds of cheese. 6. This is an input-output table with x as the input and y as the output. This table shows a proportional relationship between x and y. b) The point (1.5, 6) shows that 6 pounds of cheese cost $1.50. c) The point (1, 4) shows the cost is $4.00 for 1 pound of cheese. d) The (0.25, 1) shows the cost is $0.25 for 1 pound of cheese. e) The point (0.5, 2) shows that 0.5 pound of cheese costs $2.00. What is the constant of proportionality between x and y? Show all your work and write your answer as a decimal.

3 8. The number of grams of protein is proportional to the number of servings. 10. A pizza restaurant uses the equation: y = 1.5x + 10, where y is the total cost of a pizza, and x is the number of additional toppings. Does this equation represent a proportional relationship? How do you know? Based on the graph, how many grams of protein will 7 servings provide? Answer 9. What is the unit rate for line A? Write it in the form of y = kx. 11. According to the table below, is the number of feet proportional to the number of minutes? Why or why not? Time (Minutes) Distance (Feet) ½ Answer

4 CONSTRUCTED RESPONSE When a song is sold by an online music store, the store takes some of the money and the singer gets the rest. The graph below shows how much money a pop singer makes given the total amount of money brought in by one popular online music store from sales of the song. a. Identify the constant of proportionality between dollars earned by the pop singer and dollars brought in by sales of the song. b. Write an equation relating dollars earned by the pop singer, y, to dollars brought in by sales of the song, x. c. According to the proportional relationship, how much money did the song bring in from sales in the first week, if the pop star earned $800 that week? d. Describe what the point (0, 0) on the graph represents in terms of the situation being described by the graph.

5 Possible alternate questions: 1) If gallon of paint covers of a wall, then how much paint is needed for the entire wall? 2) A student is making trail mix. Using the table below, create a graph to show the relationship between cups of fruit and cups of nuts. Is this a proportional relationship? If the graph does not show a proportional relationship, then explain why not. If the graph shows a proportional relationship, then determine the constant of proportionality and explain how it relates to both the table and graph. Serving Size Cups of Nuts (x) Cups of Fruit (y) ) The table below gives the price for different numbers of books. Is the price proportional to the number of books? Number of Price Books ) A train traveled of the distance between two cities in hour. At this rate, how many hours will it take the train to travel the entire distance between these two cities? a) b) c) 3 d) 6

6 5) Ellie walks mile in hour. Sophie walks mile in hour. Who is walking at a faster pace? Defend your answer with proof! 6) Bargain DVDs cost $5 each at Mega Movie. Graph the proportional relationship that gives the cost y in dollars of buying x bargain DVDs. Give an ordered pair on the graph and explain its meaning in the real world context. Ordered pair: Meaning: 12. A worker has to drive her car as part of her job. She receives money from her company to pay for the gas she uses. The table shows a proportional relationship between y, the amount of money that the worker receives, and x, the number of work-related miles driven.

7 Write an equation that can be used to determine the total amount of money, y, the worker receives for driving x work-related miles. Show your work below. Answer