Concept explainers
Prices of Fast Food One group of customers bought
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- Parent Volunteer Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $24 full-year registration fee and how many had paid a $16 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $400 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?arrow_forwardLaurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $15 full-year registration fee and how many had paid the $10 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $250 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?arrow_forwardBroadway The ordered pairs below give the starting year and gross ticket sales S (in millions of dollars) for each Broadway season in New York City from 1997 through 2014. 1997,558 2003,771 2009,1020 1998,588 2004,769 2010,1081 1999,603 2005,862 2011,1139 2000,666 2006,939 2012,1139 2001,643 2007,938 2013,1269 2002,721 2008,943 2014,1365 (a) Use a graphing utility to create a scatter plot of the data. Let t=7 represent 1997. (b) Use the regression feature of the graphing utility to find the equation of the least squares regression line that fits the data. (c) Use the graphing utility to graph the scatter plot you created in part (a) and the model you found in part (b) in the same viewing window. How closely does the model represent the data? (d) Use the model to predict the gross ticket sales during the season starting in 2021. (e) Interpret the meaning of the slope of the linear model in the context of the problem.arrow_forward
- After attending a major league baseball game, the patrons often purchase souvenirs. If a family purchases 4 t-shirts, a cap and 1 stuffed animal their total is $135. A couple buys 2 t-shirts, a cap and 3 stuffed animals for their nieces and spends $115. Another couple buys 2 t-shirts, a cap and 1 stuffed animal and their total is $85. What is the cost of each item?arrow_forwardDiet Program Nicole started a new diet that requires each meal to have 460 calories, 6 g of fiber, and 11 g of fat. The table shows the fiber, fat, and Calorie content of one serving of each of three breakfast foods. How many servings of each food should Nicole eat to follow her diet!arrow_forwardDepartment store order The buyer for a large department store must order 40 coats, some fake fur and some leather. He is unsure of the expected sales. He can buy 25 fur coats and the rest leather for 9300, or 10 fur coats and the rest leather for 12,600. How much does he pay if he decides to split the order evenly?arrow_forward
- The average monthly income of P and Q is $5050. The average monthly income of Q and R is $6250 and the average monthly income of P and R is $5200 .Find the monthly income of Parrow_forwardBuddy is looking for a really great gift for his friend Nick, and he finds a list of 21 useful kitchen gadgets in a catalog for $100 or less each. He writes the price of each item in the list below: $35 $30 $90 Make a stem-and-leaf plot for these prices in the space provided below. $30 $25 $32 $66 $95 $50 $41 $84 $80 $71 $28 $31 $25 $67 $31 $100 $88 $58 Stem Leaves 2 3 4 7 8 9. 10arrow_forwardA landscaping company placed two orders with a nursery. The first order was for 12 bushes and 3 trees, and totaled $390. The second order was for 8 bushes and 5 trees, and totaled $368. The bills do not list the per-item price. What were the costs of one bush and of one 4. tree? Variable definitions: Conclusion:arrow_forward
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