Question

Application: 1) After reading the missing report and examining the evidence, which linear equation should be used in order to predict the height of the victim? 2) Graph the linear equation that should be used to determine the height of the victim on the axis below. 4Y 200 180t 160 140 120 100 80 60 40 20 75 60 45 30 15 Bone Length (cm) Height (cm) Examine the evidence and compare the data to your graph. Do you think the remains belong to those of 3) the missing person? Explain your reasoning. The linear equation that you are using to make a prediction for a person's height is simply an estimate 4) and is not 100 % accurate. There are many sources of error that need to be accounted for when using equations to make predictions. For example, errors can occur when an individual is taking measurements of evidence. Even the natural variation among people's body types can lead to different outcomes. In general, the error for the equation used should be 5 cm at most. Does this change your answer to the previous question? Explain why or why not. 24 ab 4: Modeling Linear Equations in Slope-Intercept Form 1) Determine the equation of the line with a slope of - and passing through the point (16,-9). Give your answer in slope-intercept form. 2) Determine the equation of the line that passes through the points (4,-3) and (2,2). Give your answer in slope-intercept form. 3) months he has 47 coins. Kevin uses a linear equation to determine the number of coins saved, y, in terms of the number of months, x. Kevin is saving rare coins and after 6 months he has 32 coins. He continues to save and after 11 Calculate the rate of change (slope) through the two points. a) b) Determine the equation of the line for the total number of coins. Give your answer in slope-intercept form. If Kevin saves coins for 30 months, how many rare coins will he have? c) 27 Modeling Linear Equations in Slope-Intercept Form Josh has math homework to do. He has been working on it and after 3 hours he has completed 4) 48 problems. After he has worked for 5 hours he has completed 70 problems. Josh uses a linear equation to determine the number of problems completed, y, in terms of the number of hours worked, x. Calculate the rate of change (slope) through the two points. a) Determine the equation of the line for the total number of problems completed. Give your answer in slope-intercept form. b) c) How many problems did Josh complete in 2 hours? Tim is on a diet to lose weight. He is keeping track of his weight each week, On week 4 he 5) weighs 210 pounds. On week 10 he weighs 195 pounds. Tim uses a linear equation to determine his weight, y, in terms of the number of weeks, x. a) Calculate the rate of change (slope) through the two points. b) Determine the equation of the line for Tim's weight. Give your answer in slope-intercept form. If Tim is on week 14 of his diet what will his weight be? c) 28 Lab 6: Function Notation Given f(x)=-2x +5 and g(x) = 12x-6 determine the following: 1) Calculate f(6) and describe its meaning using a complete sentence 2) Calculate g(-3) and describe its meaning using a complete sentence. =12x-6.Determine the value of x given the following: Let f(x)=-2x + 5 and g(x) Determine the value of x given f(x) =-7 and describe its meaning using a complete sentence 3) 4) Determine the value of x given g(x) = 0 and describe its meaning using a complete sentence. 35 tation 5) Given the hexagon below where all sides are equal in length and measured in feet: a) Write the perimeter, P(x), in function notation. Simplify your 5x+2 answer. b) Determine the perimeter, P(7), and interpret your answer. If P(x) 510, determine the value of x and interpret your answer. c) Sue owns an online business selling her handmade handbags. She earns $12 on each handbag 6) she sells; however, since she offers free shipping, it costs her a flat fee of $4.50 to ship each order. single handbag order, where x represents Write an equation to determine Sue's profit on a the number of handbags ordered and P(x) represents her profit. a) b) Determine P(3) and interpret your answer. If Sue's profit on a handbag order is $91.50, how many handbags did she sell? c) 36 Lab 6: Function Notation 7) Given the rectangle below with the sides measured in feet: a) Write the perimeter, P(x), in function notation. 2x-5 Simplify. x+5 b) Calculate the perimeter, P(12), and interpret your answer. If the perimeter of the rectangle is 108 feet, determine the value of x. c) 37

Answer 1

Stote ntucapt om Gimea equatud in Madelliny Lab 4 Slote Cm) (16,-4) foint Ca9) Equation m (x-x) - '6-R y-(-9) -16) = b - x +2 -1 Ca,y,)4,-3) (a,y(2,2) Points Equatien 2-,Cx-x) 거2~지 -3)2- (-3) Cx-4) 2 4 C2-4) +3 2 -5 tlo