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- Michael is draining an aquarium. The graph below shows the amount of water (in liters) in the aquarium versus time (in minutes). A. What is the amount of water (per liter) in the aquarium at 0 minutes ? B. Choose the statement that best describes How the time and a water are related. Then give the value requested. (See pictures)A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x. Suppose the largest possible cutout length is 3.5 inches. Over what interval of xx does the volume of the box decrease as the cutout length gets larger? (Enter your answer as an interval.)The accompanying bar graph shows the gross domestic product a certain country over a sixyear penod About what was the gross domestic product in Year 2? The gross domestic product in Year 2 is about $ ? Billion
- Which statement correctly compares the function shown on this graph with the function y = 2x - 5? A) the function shown on the graph has a smaller rate of change and a lower starting point. B) the function shown on the graph has a greater rate of change and a higher starting point. C) the function shown on the graph has a greater rate of change, but a lower starting point. D) the function shown on the graph has a smaller rate of change, but a higher starting point.The bar graph shows your chances of surviving to various agesonce you reach 60.The functions f(x) = -2.9x + 286 and g(x) = 0.01x2 - 4.9x + 370 model the chance, as a percent, that a 60-year-old will survive to age x. a. Find and interpret f(70). b. Find and interpret g(70). c. Which function serves as a better model for the chance of surviving to age 70?Suppose you offer to take your friend out to dinner at a local restaurant and the bill comes to $84.16. The waiter mentions that they offer a 7% discount off the total bill to students who show school ID, which you fortunately brought with you! Your friend also has a coupon for the restaurant that will take 15% off the total bill. b. What is the relative change (to the nearest hundredth of a percent) in your bill at the restaurant?Answer: Work/Explain: c. Your friend says that with the student discount and the coupon combined, you were able to knock 22% off the original bill! Is your friend correct?Answer: Explain your answer: please write clearly so i can read
- a) Find and interpret f(30). Identify this information as a point on the graph of f. b) Does f(30) overestimate or underestimate the actual data shown by the bar graph? By how much? c) Find and interpret f(45). Identify this information as a point on the graph of f. d) Does f(45) overestimate or underestimate the actual data shown by the bar graph? By how much?The regular price for a pair of skies is $48 . The store is having a buy one get one 1/2 off sale . If you buy 2 pairs of shoes for that price , what percent discount is that ?, Show your workThe bar graph shows your chances of surviving to various ages once you reach 60. The functions f(x) = -2.9x + 286 and g(x) = 0.01x2 - 4.9x + 370model the chance, as a percent, that a 60-year-old will survive to age x. Solve; a. Find and interpret f(70). b. Find and interpret g(70). c. Which function serves as a better model for the chance of surviving to age 70?
- 1. John works in a retail outlet for $10.00 per hour. If his pay is increased to $12.00, what is his percent increase in pay? 2. Convert 155 miles to centimeters. 3. Write the relationship of percent change. (Be sure to include mathematical operators where appropriate)Angela is driving across the state to her friends house. she just filled her fuel tank to it's maximum capacity of 26 gallons.If the amount of gas in her car decreases by 2 gallons every 48 miles which of the following graphs best represents the number of f gallons of fuel remain in ngTaxi Miles The Inner City Taxi Company estimated,on the basis of collected data, that the number of taximiles driven each day can be modeled by the function Q = 489L0.6, when they employ L drivers perday.a. Graph this function for 0 <= L <= 35.b. How many taxi miles are driven each day if thereare 32 drivers employed?c. Does this model indicate that the number of taximiles increases or decreases as the number ofdrivers increases? Is this reasonable?d. Is the graph of this function concave up or concavedown? What does this mean?