Algebra Homework Help

Question:
Question 9 (Multiple Choice Worth 1 points) (04.07) A fuel is purified by passing it through a clay pipe. Each foot of the clay pipe removes a fixed percentage of impurities in the fuel. Let f(x) represent the amount of pollutants, in tons, left in the fuel after it had passed through x feet of the clay pipe. f(x) = 10(0.8)x What does the number 0.8 represent? Every foot of the pipe keeps 80% of the pollutant. Every foot of the pipe removes 80% of the pollutant. The original amount of pollutant present in the fuel was 80 tons. The original amount of pollutant present in the fuel was 20 tons. Question 10 (Fill-In-The-Blank Worth 1 points) (2.01) Mike observed that 75% of the students of a school liked skating. If 35 students of the school did not like skating, the number of students who liked skating was ______. (only put numeric values, no other symbols) Numerical Answers Expected! Answer for Blank 1: Question 11 (Multiple Choice Worth 1 points) (2.06) Choose the correct description of the graph of the compound inequality 3x + 2 > 2 and 3x less than or equal to 6 A number line with an open circle on 0, shading to the left, and a closed circle on 2, shading to the right A number line with a closed circle on 0, shading to the left, and an open circle on 2, shading to the right A number line with a closed circle on 0, an open circle on 2, and shading in between A number line with an open circle on 0, a closed circle on 2, and shading in between Question 12 (Multiple Choice Worth 1 points) (01.02) Simplify the following expression: 2x − 8y + 3×2 + 7y − 12x. 3×2 − 14x − y 3×2 − 10x − y 3×2 − 10x − 15y 3×2 + 10x − y Question 13 (Multiple Choice Worth 1 points) (2.05) Jasmine wants to use her savings of $1,128 to buy video games and music CDs. The total price of the music CDs she bought was $72. The video games cost $43 each. What is the maximum number of video games that Jasmine can buy with her savings? 24 25 26 27 Question 14 (Multiple Choice Worth 1 points) (04.05) The graph of f(x) = 2x + 4 shifts five units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k? −5 −1 1 5 Question 15 (Multiple Choice Worth 1 points) (04.06) Marilyn and Tiara went for jogging every day. They increased the number of minutes of jogging every week as described below: Marilyn: Jogged for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Tiara: Jogged for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Marilyn and Tiara to increase the time they spent jogging? Marilyn’s method is linear because the number of minutes increased by an equal factor every week. Tiara’s method is linear because the number of minutes increased by an equal number every week. Both Tiara’s and Marilyn’s methods are exponential because the number of minutes increased by an equal number every week. Both Tiara’s and Marilyn’s methods are exponential because the number of minutes increased by an equal factor every week. Question 16 (Multiple Choice Worth 1 points) (04.03) Sophia invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of her investment after x years: f(x) = 500(1.05)x What was the average rate of change of the value of Sophia’s investment from the second year to the fourth year? 14.13 dollars per year 28.25 dollars per year 50.00 dollars per year 56.50 dollars per year Question 17 (Multiple Choice Worth 1 points) (03.05) A student needs to make a square cardboard piece. The cardboard should have a perimeter equal to at least 92 inches. The function f(s) relates the perimeter of a cardboard piece, in inches, to the length of its side in inches. Which of the following shows a reasonable domain for f(s)? 23 < s < 46 23 < s < 92 s ≥ 92 s ≥ 23 Question 18 (Multiple Choice Worth 1 points) (03.03) The location of an ant from a tree was 3 meters west (negative direction). The ant walked towards the tree at a constant rate and reached the tree in 2 minutes. If y represents the location of the ant from the tree, in meters, and x represents the time in minutes, which graph best represents this situation? graph of line going through ordered pairs negative 3, 0 and 0, 2 graph of line going through ordered pairs 0, negative 3 and 2, 0 graph of line going through ordered pairs 0, 2 and 3, 0 graph of line going through ordered pairs 0, negative 2 and negative 3, 0 Question 19 (Multiple Choice Worth 1 points) (03.05) Kylie sells 2 concert tickets every minute. She has already sold 8 tickets. If f(t) represents the total number of tickets that Kylie will sell in t minutes, which of the following functions represents the relationship between f(t) and t? f(t) = 8t − 2 f(t) = 2t − 8 f(t) = 2t + 8 f(t) = 8t + 2 Question 20 (Multiple Choice Worth 1 points) (03.02) If f(x) is the total number of bacteria present in a sample after x hours, which of the following statements best describes the meaning of f(2) = 12? The total number of bacteria present in the sample after 12 hours is 2. The total number of bacteria present in the sample after 6 hours is 2. The total number of bacteria present in the sample after 2 hours is 12. The total number of bacteria present in the sample after 6 hours is 12. [supanova_blog_name_sc]