II" 56 -' You are helping a friend plant two avocado trees. You planted one tree already, which had a rootball of 7.5 inches, and are deciding where to place the other tree. You decide to plant it on the line that runs due North-South of the rst avocado tree. You want the avocado trees to be at least 3.5 yards apart. Let D be the number of yards you plant the second tree north of the rst tree. Tip: Sketch a picture representing this and label it with the relevant infbrmation a. Select all values that are acceptable for D. 0-3.5 yards 0-5 .5 yards O75 inches 04 yards OAny value that is greater than 3.5 yards. OAny value of D whose distance from 7.5 inches less than 3.5 yards. 02.5 yards b. Indicate on the number line all acceptable values for D. Use the open circle to indicate that an endpoint is not included and the closed circle to indicate that the endpoint is included. D I l -8 -7 -6 -5 -4 -3 -2 -1() I 2 3 4 5 6 7 8 CleaIAlllDraw: : O O l c. Write an inequality using algebraic symbols (no absolute value) to represent the values that D may attain. :1 Preview d. Write an inequality, with an expression involving an absolute value in the box on the left, that represents all values D may attain that meet this constraint. Question 2. Points possible: 1 ""6"" This is attempt 1 0f3. AA Bimathas.rationalreasoning.net A tank is lled with the liquid algebral that weighs 8.4 pounds per gallon. When the tank contains 17 gallons of algebral, the combined weight of the tank and the algebral is 160.3 pounds. Write an equation that expresses the combined weight of the tank and algebral in pounds, w, in terms of the number of gallons of algebral in the tank, '0. Preview Question 3. Points possible: 1 License This is attempt l of 3. 7:46 .1 5G 70 A linear relationship exists between the quantities whose values are represented by the variables s and r. S r 24 4 15 7 10 . 3 1. If As = 3, then Ar = Preview 2. If As = - 3, then Ar = Preview 3. If s = 7, then r = Preview 4. If As = 1, then Ar = Preview 5. If As = - 5, then Ar = Preview 6. What is the constant rate of change of r with respect to s equals Preview 7. If s = 0, then r = Preview 8. Write an equation that relates r and s. Preview Question 4. Points possible: 1 License This is attempt 1 of 3. AA imathas.rationalreasoning.net C7:46& IQ; ..u as -. 11115 15 dllClIlpl. 1 U1 .3. Consider a rectangular box. Let L represent the length of one of the sides of the base (in cm). The length of another side of the base is 4 times as long as L. The height of the box is 5 times as long as the side length, L. a. Write a formula that expresses the volume (in cubic cm), V, ofthe box in terms of L. w = [: Preview . What is the volume of the box if the side length of the base, L, is 4.1 cm? t: we Preview . Suppose the volume of the box is 137.18 cubic cm. What are the lengths of all of the sides? The side length of the base, L, is :J err Preview A different side length of the base is :1 er Preview The height of the box, H, is :J err Preview Question 5. Points possible: 1 "cause This is attempt 1 of 3. Submit Save answers AA Bimathas.rationalreasoning.net G