8th Grade Math TEST Review Rate of Change and Slope
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1 Name ÿ Date Period 8th Grade Math TEST Review 2.11 Rate of Change and Slope 1. The graph below shows that Jim is beginning to do small chores around the house to earn money. What is the slope of the line? Chores Money Earned :o I% : i Number of Chores A 3 5 B 3 w xl D 5 3
2 2, The graph below shows the relationship between the number of cookies a bakery sells and the cost. What does the slope of the graph represent? ,5 O Y{5 _ I Iÿrq Lt Number of Cookies F The number of cookies you could buy for $2.00 The cost per cookie H The cookie per cost The different between buying 2 cookies and 8 cookies s One point on the line is (-3, 5). What is another point on the line? 3. The slope of a line is ÿ. *USE COORDINATE PLANE TO SOLVE PROBLEM Y
3 4, The table shows the relationship between the number of hours, h, John has been hiking and the total distance, d, he has traveled in kilometers, John d ,0 I The graph shows the distance Sara hiked over the same time period. ik 30 %/I [- -i.j 2o o 10 o hours What is John's speed? 5,5 ÿ_ra per h0ccr What is Sara's speed? Who is faster? pÿr hour qorÿ
4 m.ÿ?.o What is the constant rate of chÿween --f '2,b the t wo/ÿ'ÿies in the tÿ Time xÿ 20 / V 4O 60 Plane taking of.ÿ at the airport./yÿ F! ÿ i-z, 36 k.j H ÿ2 1 :i_s 3 ChCng in < 6, A store sells a 6-pound bag of apples for $ price per pound of apples? 90 Which of the1.ÿ--ÿ followingÿl 1. Bqÿis n:t _ A A 20-pound bag for $36.80 ÿ1,ÿ pe.4r pelÿr'ÿ:;ÿ B A 12-pound bag for $22.68,ÿ1,ÿq ÿ p#ÿ C: A 7-pound bag for $13.23 ÿ 'ÿct pt.4r" polÿtÿ4 I.ÿ D A 15-pound bag for $28.35 ÿ I.'ÿ91'ÿ;ÿ-'v" ÿ01ÿ1 7. Mia works at a shoe store after school to save money for college. She is paid an hourly rate of $8.75 per hour, and she has already saved $700 that her grandparents gave her. Her total savings can be represented by the following function. ÿ r. ÿviÿoelqÿ" 8.TSh = S(h) Z C D What is the independent variable in this function? C = ConStzÿn+ F The number of dollars given to Mia by her grandparents. 6 The hourly rate Mia is paid. 14 The total amount of money Mia has saved he number of hours Mia has worked.
5 x Determine theÿslope of the line that passes through the points E(4, -2) and F(6, 2). Oÿÿ i ÿy- _ : X2-X, b-q 9. The total cost and the number of watermelons ordered are in a proportional relationship. The relationship is shown in the graph. Interpret the unit rate and compare it to the slope. Watermelons Total Cost ($) ,f /.H" /..jr f.j...,... /'ÿ... l 2, I 2 4 6, ÿ 6, 30 f" L.ÿ. t-ÿtÿ'onslÿ ipÿ u3 ou.ÿ X-voÿu4_ is ÿ. Number of Watermelons F The unit rate is $2.50 per watermelons, which is also the slope of the line in the graph. G The unit rate is $10 per watermelons, which is also the slope of the line in the graph..ÿhe unit rate is $5 per watermelons, which is also the slope of the line in the graph.,1 The unit rate is $5 per watermelons and the slope of the line is 10.
6 10. Red-Box charges $8.94 to rent a DVD for six days. At this rate, which equation can be used to determine the charge, c, for renting a DVD for eight days? A c = 1.99(8) (ÿc 1.49(8) C c = 0.99(8) D c = 1.29(8) 11. The graph shows the rate in which cars pass a fixed point on a highway. What is the unit rate and what does it represent? Highway 249 Number of Cars " r'" J S yÿ j" o I.m H r tc Time(h) F 300; 300 cars G 300; 300 miles per hour H 75; 75 cars 75; 75 car per hour
7 12, Josie rides her bike at a constant rate. The graph of her progress is shown. Which statement is true? Bike Trip 2.5 Miles 1.s % g p,-oloor on ' lo A The slope of the line is the same Time (minutes) #& rl'se the unit rate of _4 miles per minute. Iÿ 1 (ÿhe slope of the line is the same the unit rate of 0.25 miles per minute. C The slope of the line is different ÿ the unit rate of 0.50 miles per minute. D The slope of the line is different ÿthe unit rate of so1 miles per minute..4- H #0,26 D I ::1.3, The table below shows the speed that Diana types. How many words can Diane type in 88 gg gÿ
8 14, What is the slope of this line? Explain how you found the slope. 15. Find the slope of the line that passes through R(8, and S(5, -.
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