1. Determine the independent and dependent variables for the following relationship:

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1 Name: tsu.rer' 1^2 Period: Date: frajcfrul ^ Quiz 2 (Chapter ) - Period 1 Short Answer Clearly communicate all your thinking and show ALL the work. If your work is unclear or steps are missing, you will not receive full marks, even if your answer is correct. 1. Determine the independent and dependent variables for the following relationship: The speed of vehicles is related to the distance travelled in an hour. ' sjourrfsalsl =- S/^W- (JISA- UoUY~ 2. a) Use the graph below to describe the characteristics of the trend in the data displayed in the graph, '"fpeiacf b) Use a ruler to help you estimate the slope for a line that best approximates the data in the scatter plot. (Show your calculations) (HO)30) slops. i i i i i i i f i 1-» fl AS, x

Long Answer Problems Clearly communicate all your thinking and show ALL the work. If your work is unclear or steps are missing, you will not receive fall marlas, even if your answer is correct. 1.

2 Long Answer Problems Clearly communicate all your thinking and show ALL the work. If your work is unclear or steps are missing, you will not receive fall marlas, even if your answer is correct. 1. A Handsworth keeps track of the attendance at their home football home games in the table below. rflnirmn 1 2 " Attendance I I L.3t - vtjovx. - ^ a) Create a scatter plot, and draw a line of best fit for the data. Show a rough sketch ofyour, ^ ^ pis graph from your graphing calculator or from EXCEL in the space below, ff-ffaflpl pimj- Suolj io - citee&fi LiVv, Or.; ac k.larid 7:< jv'vtvt - i ivvl ft "" b'-/ i L) < ttq'^ (bc-li/vxs b) Use your graph to determine amj[state the equation for tlie functiopthat best models this data. ~frox*) "4-1 S b * OG'X A bl 4^ ^uxbavv. dlflbierv iwj.. fv\ l«>3 C) Use y^'gssiplsto interpolate the attendance at the fifth game..3(s) =,!5S.-O6(s)4-Io((4 = A statistician determined that the winning times in the women's 200 m Olympic sprint can be modelled by the regression equation T= y where J7 represent the winning time in seconds and y represents the years since a) What do the slope andy-intercept represent in this context? u ("Vyb ol 3» 5- b LO bvvx, ivv CLCeWc fk H/S, p:-q lo'1)l4 ~ C?4- f. Afafaj..1. y bftl slope. TVc sjlomajjl djlca^ciu-s 3^., oi Ini^) b) Estimate the first year when the winning time will be below 21 s. Remember that the summer Olympics occurs every four years, 5./ AI - 73,7 7'/ - - O*o}>yg - h 3.^ - _ i. 'JMl * -, J b»"7,yr:s '7 -^/03V,y, stc-y aoas/b oiyivvpxs ^ fw. '3-0 3aK

3 3. A research company summarized the average time spent every day by teenagers watching > television. _ ia.-. i a 3 v g b 7 a i KJji ' Year Time (min) a) Create a scatter plot, and draw a curve of best fit for the data using quadratic regression. Show a rough sketch of your graph from your graphing calculator or Jrom EXCEL in the space 4,K elow. iv- TiV^l l ti 6 a M" 6. s 10 Y sivujz. Q-CtM b) Use your, graph to determine and state the equation for the quadratic function that best models»,^5 I ?. t c) Use your graph to estimate the average amount of time spent watching television in / ACtr r c_ jj vce i u ^ jj, & &&] '%,-= ^ -- u as (a1 S/53^ ^ a«<3\ f 51975^^ I K j 4- Tawnya tracked the depth of the water at an ocean marina bhedhoming. Her data is summarized in ' -tila tq.kifa the Kf=»1/>«r table below. Time of Day 08:00 09:00 10:00 11:00 12:00 13:00 15:00. Depth (ft) a) Determine the equation for the cubic regression function that models this data. Let jt be the number of hours since 08:00 and y be the depth in feet 0. Oll'K 3 r O ' ' 70 -x A 6 /- / 3, / 4 \f X

4 Show a rough sketch of your graph from your graphing calculator or from EXCEL in the space below. a * f. % a s k r. b) Estimate the change in the depth of water from 14:00 to 16:00. Show your work. X % = /^vys 8: oo cuf- /Y; OO; yc - 6 {Wico - 2ioo) $0 y, t-yuhy x =- y =r -O.o!/((»)*+ O,/70(6)A- O,(^70Y'3.O3Y... "y cv/-' /b'<oo, -'X' - 8 (- ''" foo) y = -0,0//{g)3> +.. <. '-H'ti's )i-i = / 3. y?? ' ^ CAjz-v^jz /K clap^'1" /f-qo j = / /S, S8? j 0,2i'3i- /

5 Name: J Period: Date: Quiz 2 ^Chapter ) - Period 2 Clearly communicate all your thinking and show ALL the work. If your work is unclear or steps are missing, you will not receive full marks, even if your answer is correct Short Answer 1. Determine the independent and dependent variables for the following relationship: The number of days is related to the height of a pea plant. 2. a) Use the graph below to describe the characteristics of the trend in the data displayed in the graph. /"h et^o-zfwl. b) Use a ruler to help you estimate the slope for a line that best approximates the data in the scatter plot (A 1 15 > 10 5 im 10 t-s Slop8-- nl-e. ''flifd so 0 50 / 100 " X Axis 150 _ 3_ o 11x41 = - so - so dslpga*jl&vj[r Cy)) hsylj p-&4- SlfULA^ - iq loo - So ^ JS SO ^ :3> 1

6 Long Answer Problems Clearly communicate all your thinking and show ALL the work, not receive full marks, even if your answer is correct. If your work is unclear or steps are missing, you will 1. The Handsworth soccer coach want to know the relationship between the number of shots his team takes during a game and the number of goals they score. He collected the following data from the last few games. ' Shots Goals a) Create a scatter plot, and draw a line of best fit for the data. Show a rough sketch of your graph from your graphing calculator or from EXCEL in the space below. j 11 '' c '1 X b) Use your graph to determine and state the equation for the function that best models this data. < 'W c) Use you{ graph to estimate the number of shots required to score 2 goals. n ' r S 6 : ) y. '? ' 'X A statistician determined that the wanning times in the women's 200 m Olympic sprint can be. modelled by the regression equation T= y where 7 represent the winning time in seconds and y represents the years since a) What do the slope andy-intercept represent in this context? i) Estimate the first year when the winning time will be below 21 s. Remember that the summer Olympics occurs every four years.

7 3. A research company summarized the average time spent every day by teenagers watching television. Year Time (min) a) Create a scatter plot, and draw a curve of best fit for the data using quadratic regression. Show a rough sketch of your graph from your graphing calculator or from EXCEL in the space below.,. t b) Use your graph to determine and state the equation for the quadratic function that best models this data. c) Use your graph to estimate the average amount of time spent watching television in Shane tracked the depth of the water at an ocean marina one afternoon. His data is summarized in the table below. &u,siyit= o ' a 3 y 6 y- Time of Day 12:00 13:00 14:00 15:00 16:00 18:00 19:00 Depth (ft) a) Determine the equation for the cubic regression function that models this data. Let jc be the number of hours since 12:00 andy be the depth in feet. C/R-C 61 CCL loi^i U = - O. OfS'X 3V O,o9lfy* <ci% f /a- a? \id.

8 Show a rough sketch of your graph from your graphing calculator or from EXCEL in the space below. / I' : ' «/ ''L 1),» % fa#*, $/KCJL - ' < ) j.l b) Interpolate the depth of the water at 17:00. Show your work. / /?» o O-iQlOO = ffi i/'/l 1 lir.p. ' ' ' O.o/sfsff o, c>?s(-x)^f- vaxi,ol. j 3blfs) f /ai J-'/ % - 6, y - /'ASS' y r. iy, sr?y «:/- /7f.v. c) Extrapolate the depth of the water at 10:30 that morning. Show your work. a J: /O f, 3o A 5 Lrs kx /Q; oc) nc - / < / c. L C-C/r ~/.-y i L..._ / ll't i f uaxma E:: / c:, o 71 i C-'' 3h i(""ii (') > y -- / C/JSj if ajr Zo i 3 c />v Au ""/'ik i-e yjf'ff-i C 'f y-kk /3. c i k 5

Practice Test Chapter 6 Polynomial Functions

Practice Test Chapter 6 Polynomial Functions FOM 12 Practice Test Chapter 6 Polnomial Functions Multiple Choice Identif the choice that best completes the statement or answers the question. Name: Block: _ 1. Determine the degree of this polnomial