# Algebra Homework Help

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Question 45 (Multiple Choice Worth 1 points) (01.05) Edward wants to determine which skateboarder won a race. The actual time taken by four skateboarders to skate the same distance is shown below: Skateboarder A B C D Time (in seconds) 4.28 4.24 4.26 4.25 If the stopwatch can measure to the nearest tenth of a second, which skateboarder will show as having a different time from the others? Skateboarder A Skateboarder B Skateboarder C Skateboarder D Question 46 (Multiple Choice Worth 1 points) (2.05) Which of the following is not a way to represent the solution of the inequality 5(x + 2) greater than or equal to 7x + 2(x − 1)? A number line with a closed circle on 3 and shading to the right A number line with a closed circle on 3 and shading to the left 3 greater than or equal to x x less than or equal to 3 Question 47 (Multiple Choice Worth 1 points) (01.05) Which of the following is the most appropriate unit to describe the rate at which water flows over Niagara Falls? Days per billion gallons, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days Billion gallons per day, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days Billion gallons per day, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons Days per billion gallons, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons Question 48 (Multiple Choice Worth 1 points) (2.02) The table below shows the ticket rates for whale watching trips offered by Dolphin Tricks & Tours. Age Ticket Price Under three years free Three to 12 years \$35 Over 12 years \$46 On a certain day, the company took 88 people on whale watching trips. There were 44 children aged 12 and under, of which some children were under three years. If x represents the number of children under three years, which equation can be used to find the value of x, where C represents the total amount of money collected from tickets that day? (44 + x)35 + (88 − (44 + x)) ⋅ 46 = C (88 − x)35 + (88 − 44) ⋅ 46 = C (44 − x)35 + (88 − 44) ⋅ 46 = C (88 + x)35 + (88 − (44 + x)) ⋅ 46 = C Question 49 (Multiple Choice Worth 1 points) (2.06) A company did a quality check on all the packs of nuts it manufactured. Each pack of nuts is targeted to weigh 18.25 oz. A pack must weigh within 0.36 oz of the target weight to be accepted. What is the range of rejected masses, x, for the manufactured nuts? x < 17.89 or x > 18.61 because |x − 18.25| > 0.36 x < 17.89 or x > 18.61 because |x − 0.36| + 18.25 > 0 x < 18.25 or x > 18.61 because |x − 18.25| > 0.36 x < 18.25 or x > 18.61 because |x − 0.36| + 18.25 > 0 Question 50 (Multiple Choice Worth 1 points) (04.07) The functions f(x) and g(x) are shown below: f(x) = 5x g(x) = 5x Which statement best describes the graph of f(x) and g(x)? The graph of f(x) will eventually exceed the graph of g(x). The graph of g(x) will eventually exceed the graph of f(x). The graphs will both have their y-intercept equal to 1. The graphs will both have their y-intercept equal to 5. Question 51 (Multiple Choice Worth 1 points) (03.05) The table below shows the distance d(t) in feet that an object travels in t seconds: t (seconds) d(t) (feet) 3 126 4 224 5 350 6 504 What is the average rate of change of d(t) between 3 seconds and 5 seconds, and what does it represent? 59.5 ft/s; it represents the average speed of the object between 3 seconds and 5 seconds 112 ft/s; it represents the average speed of the object between 3 seconds and 5 seconds 112 ft/s; it represents the average distance traveled by the object between 3 seconds and 5 seconds 59.5 ft/s; it represents the average distance traveled by the object between 3 seconds and 5 seconds Question 52 (Multiple Choice Worth 1 points) (2.01) Solve for x: 2 over 3 (x − 4) = 2x. 2 −2 −8 −4 Question 53 (Multiple Choice Worth 1 points) (01.01) Evaluate 32 + (6 − 2) ⋅ 4 − 6 over 3. 20 23 50 26 Question 54 (Multiple Choice Worth 1 points) (2.02) The sum of two consecutive odd integers is 244. What is the smaller integer? 119 125 123 121 Question 55 (Multiple Choice Worth 1 points) (04.05) The number of members f(x) in a baseball club increased by 45% every year over a period of x years. The function below shows the relationship between f(x) and x: f(x) = 25(1.45)x Which of the following graphs best represents the function? Graph of f of x equals 1.45 multiplied by 25 to the power of x graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity Graph of f of x equals 1.45 to the power of x Graph of f of x equals 25 multiplied by 1.45 to the power of x Question 56 (Multiple Choice Worth 1 points) (04.01) Simplify square root of 5 multiplied by the cube root of 5. 5 to the power of 5 over 6 5 to the power of 1 over 6 5 to the power of 2 over 3 5 to the power of 7 over 6 Question 57 (Multiple Choice Worth 1 points) (04.06) A store had 150 laptops in the month of January. Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store. Which recursive function best represents the number of laptops in the store f(n) after n months? f(n) = 150 − 0.8 ⋅ f(n − 1) + 10, f(0) = 150, n > 0 f(n) = 0.2 ⋅ f(n − 1) + 10, f(0) = 150, n > 0 f(n) = 0.8 ⋅ f(n − 1) + 10, f(0) = 150, n > 0 f(n) = 150 + 0.8 ⋅ f(n − 1) + 10, f(0) = 150, n > 0 Question 58 (Multiple Choice Worth 1 points) (03.03) The description below represents Function A and the table represents Function B: Function A The function is 5 more than 3 times x. Function B x y −1 2 0 5 1 8 Which statement is correct about the slope and y-intercept of the two functions? Their slopes are equal but y-intercepts are not equal. Their slopes are not equal but y-intercepts are equal. Both slopes and y intercepts are equal. Neither slopes nor y-intercepts are equal.