Buffalo Public Schools



Name:_________________________________________Date:___________7.RP.2aTo be proportional you need to: Prove that all the RATIOS are EQUIVALENTor Show that all the ratios have the same unit rate_____1. Jocelyn was shopping at a farmers’ market. She observed the prices of cucumbers at several stands. Which sign shows a proportional relationship in the pricing of the cucumbers?(2014) _____2. Line KN represents a proportional relationship. Point N lies at (18,12), as shown on the graph below. Which ordered pair could represent the coordinates of point K? (2016)A. (6, 0) B. (2, 3) C. (1.5, 0) D. (7.5, 5)87630015239900_____3. Which representation shows a proportional relationship between x and y? (2017) no calculator____4. Verda used a sensor to measure the speed of a moving car at different times. At each time, the sensor measured the speed of the car in both miles per hour and kilometers per hour. The table 126682614541500 below shows her results.(2018) Based on her results, which statement describes the relationship between m, the speed of the car in miles per hour, and k, the speed of the car in kilometers per hour?The relationship is proportional because the ratio of m to k is constant.The relationship is not proportional because the ratio of m to k is constant.The relationship is proportional because the difference between m to k is constant.The relationship is not proportional because the difference between m to k is constant._____5. Which table shows a proportional relationship between x and y ?(2019)68033694615006. The lines graphed below show the amounts of water in two tanks as they were being filled over time. For each tank, explain whether or not there is a proportional relationship between the amount of water, in gallons, and the time, in minutes. If there is a proportional relationship, identify the unit rate. Use specific features of the graph to support your answer. (2016) ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________7.RP.2b_____1. Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games. Len owns his bowling ball and shoes, so he only has to pay for each game that he bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality between the money spent and the number of games played? (2013)A. 1.5B. 2.0C. 4.5D. 9.0_____2. Maya uses blue and orange fabric to make identical wall decorations. The graph below shows the relationship between the amounts of blue and orange fabric used. What is the constant of proportionality as show in the graph? (2016)A. 310B. 25C. 37D. 12_____3. The diagram shows the length and width of a cell phone, and the length of a larger version of the same brand of cell phone.6696593111500 The lengths and widths of the two cell phones are proportional. What is the width, in inches, of the larger version of the cell phone?(2019)1.15B. 2.26C. 2.99D. 3.414. A convenience store sells two brands of orange juice. Brand A contains 8 fluid ounces and costs $1.28. Brand B contains 12 fluid ounces and costs $1.68. What is the difference in cost, in dollars, per fluid ounce between the two brands of juice?(2015)Show your work.Answer $_________________________ per fluid ounce5. The table below shows the prices of different numbers of cards on a web site. (2015) For each order, the web site applies a 7.7% sales tax to the price of the cards, plus a one-time mailing fee of $5.95. Based on the information in the table, what will be the total cost for an order for 280 cards?Show your work. Answer $_________________________6. The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship between the mass and the volume of the pieces of metal.10092918090900 Determine the mass, in grams, of a piece of this metal that has a volume of 15.3 cubic centimeters. Round your answer to the nearest tenth of a gram. (2017)Show your workAnswer __________ grams7. The graph shows the relationship between x, the amount in hours, and y, the distance traveled in miles, by a probe before it reaches Mars. (2018)7905761524000 Does the graph represent a proportional relationship? Why or why not? Justify your answer__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ Determine the number of miles the probe travels in 5.5 hours. Show your workAnswer _____________________ miles7.RP.2c Unit Rate or Constant of Proportionality ( k ) = y value / x value Equation: y = kx_____1. The cost of oranges in a grocery store is directly proportional to the number of oranges purchased. Jerri paid $2.52 for 6 oranges. If p represents the cost, in dollars, and n represents the number of oranges purchased, which equation best represents this relationship? (2014)A. p = 0.42nB. p = 2.52nC. p = 6nD. p = 15.12n_____2. Bananas cost $0.45 per pound. What equation is used to find C , the total cost of p pounds of bananas? (2014)A. C = 0.45p B. C = p + 0.45 C. 0.45C = p D. 0.45 + C = p_____3. A rhombus with side length s is shown below.(2015) The perimeter, P, of a rhombus is proportional to the length of each side, s. Which equation represents this relationship?A. P = 4sB. s = 4PC. P = 4 + sD. s = 4 + P_____4. A company ordered 10 boxed lunches from a deli for $74.50. Each boxed lunch cost the same amount. Which equation represents the proportional relationship between y, the total cost of the boxed lunches, and x, then number of boxed lunches? (2016)(no calculator) A. 7.45x = y B. 7.45x=10y C. 74.50x = y D. 74.50x=10y_____5. The table below shows a proportional relationship between s and t. (2019)21158806310100 Which equation represents the relationship between s and t?s = (1 / 7) t B. s = 7t C. s = t + 2D. s = t + 186. At a grocery store, the price of a watermelon is determined by how many pounds the watermelon weighs. The price of a watermelon that weighs 7.3 pounds is $4.38. Write an equation that can be used to determine the price, p, in dollars, of any watermelon based on the number of pounds, w, the watermelon weighs.(2019)Equation: _______________________________________________________________ Explain the process you used to determine the equation. ___________________________________________________________________________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________7.RP.2d A graph is proportional if: There is a straight line through the origin (0, 0).______1. The relationship between the length of one side of a square, x , and the perimeter of the square, y, can be represented in an xy-plane by a straight line. Which of the points with coordinates (x, y ) lie on the line? (2014) A. (2, 6) B. (2, 8) C. (6, 2) D. (8, 2)______2. The graph below shows the relationship between the number of people in a group and the total cost of admission tickets for a circus.(2015) What point on the graph represents the unit rate?A. (0, 0) B. (1, 15) C. (15, 1) D. (8, 120)_____3. A grocery store sells sliced turkey. The graph shows the relationship between the weight of the sliced turkey and the total cost of the sliced turkey. Two points, R and W, are labeled on the graph shown below. (2017)9144002984500 Which statement about the graph is true? Point R means that the unit rate is $10.00 per pound Point R means that the unit rate is 4 pounds per dollar Point W means that the unit rate is $2.50 per poundPoint W means that the unit rate is 2.5 pounds per dollar161925115240000_____4. The graph shows the total distance, in miles, traveled by a towboat over time, in hours. (2018)Which statement best describes the meaning of the coordinates of point F on the graph?It shows the unit rate of the graph in hours per mile.It shows the unit rate of the graph in miles per hour.It shows the time, in hours, it takes the towboat to travel 1 mile.It shows the distance traveled, in miles, by the towboat after 5.25 hours.7.RP.2 158686517843500Hallum Hardware created flyers to advertise a sale on a certain type of carpet. A portion of the flyer is shown below. Guillen Floors advertises the same type of carpet at a cost of 10% less per square foot than Hallum Hardware. Determine the cost of 700 square feet of the carpet if it is bought from Guillen Floors.(2017) Show your workAnswer $______________________________ ................
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