Section 3.4 Applications of Systems of Linear Equations in Two Variables 269 37. A rowing team trains on the Halifax River. It can row upstream 10 mi against the current in 2.5 hr and 16 mi downstream with the current in the same amount of time. Find the speed of the boat in still water and the speed of the current. 41. A bank offers two accounts, a money market account at 2% simple interest and a regular savings account at 1.3% interest. If Svetlana deposits $3000 between the two accounts and receives $51.25 in total interest in the first year, how much did she invest in each account? 38. In her kayak, Bonnie can travel 31.5 mi downstream with the current in 7 hr.The return trip against the current takes 9 hr. Find the speed of the kayak in still water and the speed of the current. 39. There are two types of tickets sold at the Canadian Formula One Grand Prix race.The price of 6 grandstand tickets and 2 general admissions tickets is $2330.The price of 4 grandstand tickets and 4 general admission tickets is $2020.What is the price of each type of ticket? 40. A basketball player scored 19 points by shooting two-point and three-point baskets. If she made a total of eight baskets, how many of each type did she make? 42. Angelo invested $8000 in two accounts: one that pays 3% and one that pays 1.8%. At the end of the first year, his total interest earned was $222.How much did he deposit in the account that pays 3%? 43. The perimeter of a rectangle is 42 m.The length is 1 m longer than the width. Find the dimensions of the rectangle. 44. In a right triangle, the measure of one acute angle is one-fourth the measure of the other. Find the measures of the acute angles. 45. A coin collection consists of 50¢ pieces and $1 coins. If there are 21 coins worth $15.50, how many 50¢ pieces and $1 coins are there? 46. Jacob has a piggy bank consisting of nickels and dimes. If there are 30 coins worth $1.90, how many nickels and dimes are in the bank? 47. One phone plan charges $0.15 per text message. A second plan charges $0.10 per text message but adds a monthly fee of $4.95. a. Write a linear function representing the cost for the first plan for x text messages. b. Write a linear function representing the cost for the second plan for x text messages. c. Find the number of text messages for which the cost of either plan would be the same. 48. A rental car company rents a compact car for $20 a day, plus $0.25 per mile.A midsize car rents for $30 a day, plus $0.20 per mile. a. Write a linear function representing the cost to rent the compact car for x miles. b. Write a linear function representing the cost to rent a midsize car for x miles. c. Find the number of miles at which the cost to rent either car would be the same.
miller_intermediate_algebra_4e_ch1_3
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