Lukas is researching animals for a project.  He has already researched 8 animals in school and continues to research 2 new animals each week from home.   a.  Choose the equation where w represents the number of weeks since Lukas started his research at home and n represents the number of animals Lukas has researched.             b.  Which variable is the independent variable?            c.  Which variable is the dependent variable?

Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $20 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal. 1. Write an equation relating the two variables. 2. Rearrange the equation so b is the independent variable. 3. Rearrange the equation so r is the independent variable.

4. Look For Relationships You are solving an equation with a variable on each side. Does the side on which you choose to isolate the variable affect the solution? Why might you choose one side over the other?

2. A taxi driver records the time required to complete various trips and the distance for each trip. The best fit line is given by the equation y = 0.467x + 0.417, where y represents the distance in miles, and x represents the time for the trip in minutes. a. Use the best fit line to predict the distance for a trip that takes 20 minutes. Show your reasoning. distance (miles) 255 40 30 20 10 20 30 40 50 60 70 80 time (minutes) b. Use the best fit line to predict the time for a trip that is 6 miles long. Show your reasoning.

Which pattern of numbers represents a linear equation? 2, 4, 8, 16, 32, 64 1, 3, 1, 3, 1, 3 3, 9, 15, 21, 27, 33 7, 5, 9, 3, 17, 1

Carol is studying the aggresive behavior in children and how often they watch TV shows about helping others.   She calculated that r = -2.9.  Which of the following would be most accurate.     A.the relationship is negative. B. none of the above. C. the relationship is strong and negative. D. the relationship is weak and negative.