6.5 Solving Linear Inequalities 337 48. U.S. Presidential Salary The graph below was created using StatCrunch with data obtained from the website Salary.com. The graph shows the presidential salary, in thousands of dollars, for the years 1789 to the present. 300 200 100 0 1789-1872 1969-2000 1949-1968 1909-1948 1873-1908 2001-Present 400 U.S. Presidential Salary in Thousands of Dollars Years Presidential Salary in Thousands of Dollars 25 50 400 200 100 75 Source: Salary.com In which years was the presidential salary a) $100,000? < 1789 1948 − b) $100,000? ≤ 1789 1968 − c) > $200,000 ? 2001−Present d) $200,000? ≥ 1969−Present 49. Gym Membership FitForLife gym offers two membership options. Option A requires an initial membership fee along with a monthly payment. Option B requires only a monthly payment. The two membership options are shown in the table below. Determine the number of months it will take for Option A to cost less than Option B. 11 months Membership Plan Initial Membership Fee Monthly Fee Option A $150 $20 Option B None $35 50. Salary Plans Bobby recently accepted a sales position in Portland, Oregon. He can select between the two salary plans shown in the table. Determine the dollar amount of weekly sales that would result in Bobby earning more with Plan B than with Plan A. More than $5000 Salary Plan Weekly Salary Commission on Sales Plan A $500 6% Plan B $400 8% 51. Scooter Rental To rent an electric scooter in Athens, Georgia, the renter must pay a $1 unlocking fee and then pay $0.15 per minute that the scooter is being used. $ $ $ $ What is the maximum number of minutes Curtis can use a scooter if he wishes to spend at most $10? 60 minutes 52. Anniversary The Kubys are celebrating their anniversary by having a party at the Diplomat Party House. They have budgeted $4000 for the party. If the party house charges a $100 booking fee, plus $30 per person, determine the maximum number of guests the Kubys can invite and remain within their budget. 130 guests 53. Purchasing a New Treadmill Joy is purchasing a new treadmill. In addition to the cost of the treadmill, Joy must pay a $100 fee for delivery and installation. Joy must also pay 10% sales tax on the cost of the treadmill only. What is the maximum cost of the treadmill so Joy’s total cost including the treadmill, delivery and installation, and sales tax is at most $1200? $1000 54. Purchasing New Tires Andy is purchasing four new tires for his truck. In addition to the cost of the tires, Andy must pay a $20 per tire fee for installation. Andy must also pay 5% sales tax on the cost of the tires only. What is maximum cost, per tire, so Andy’s total cost including tires, installation, and sales tax would be at most $500? $100 per tire 55. Velocity The velocity, v, in feet per second, t sec after a tennis ball is projected directly upward is given by the formula v t 84 32 . = − How many seconds after being projected upward will the velocity be between 36 ft/sec and 68 ft/sec? Between 0.5 and1.5 seconds 56. Business Profit The monthly profit, P, in dollars, of the Linus and Lucy Dog Washing Company is given by the equation P x 50 1000, = − where x is the number of dogs washed per month. How many dogs must be washed in one month to have a profit between $1500 and $2000? Between 50 and 60 dogs $ $ $ $ FXQuadro/Shutterstock MeePoohyaPhoto/Shutterstock
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