Exam 1: Equations and Inequalities

The gas mileage m , in miles per gallon, obtained during a long trip is given by where s is the speed of the automobile in miles per hour and . At what constant speed can the automobile drive to obtain a gas mileage of exactly 25 miles per gallon?

Use the critical value method to solve the polynomial inequality below. Use interval notation to write the solution set.

The length of each side of an equilateral triangle is 29 centimeters. Find the altitude of the triangle. Round your answer to the nearest tenth of a centimeter.

Use the critical value method to solve each rational inequality. Write each solution set in interval notation.

The attendance A , in billions of people, at movie theaters has been declining for a few years. A model of the decline is given by , where corresponds to the year 2000. According to this model, during what year will movie attendance first be less than 1.25 billion people?

The National Football League uses the following formula to rate quarterbacks: In this formula, C is the percentage of pass completions, Y is the average number of yards gained per pass attempt, T is the percentage of touchdown passes, and I is the percentage of interceptions. During the 2006 season, Brett Farve, the quarterback for the Green Bay Packers, completed 55.95% of his passes. He averaged 6.34 yards per pass attempt, 2.94% of his passes were for touchdowns, and 2.94% of his passes were intercepted. Determine Brett Farve s quarterback rating for the 2006 season. Round to the nearest tenth.

A video store offers two rental plans. The yearly membership fee and the daily charge per video for each plan are shown below. How many one-night rentals can be made per year if the No-fee plan is to be the less expensive of the plans? Rental Plan Yearly Fee Daily Charge per Video Low-Rate $30.00 $2.49 No-Fee None $3.99