91Ó°ÊÓ

Use the following information. In \(1991,\) the population of Kenosha, Wisconsin, was \(132,000 .\) Between 1991 and 1996 , the population of Kenosha increased by approximately 2000 people per year. Write an equation that models the population \(y\) of Kenosha in terms of \(x\) where \(x\) represents the number of years since 1991.

Write an equation in standard form of the line that passes through the given point and has the given slope. $$(0,3), m=1 $$

The cost of a taxi ride is an initial fee plus \(\$ 1.50\) for each mile. Your fare for 9 miles is \(\$ 15.50 .\) Write an equation that models the total cost \(y\) of a taxi ride in terms of the number of miles \(x\).

You are comparing the costs of car rental agencies for a one-day car rental. Car Rental Agency A charges \(\$ 30\) a day plus \(\$ . \overline{08}\) per mile. Car Rental Agency B charges a flat fee of \(\$ 40\) a day. a. Write an equation in slope-intercept form that models the cost of renting a car from each car rental agency. b. Use a graphing calculator to graph the two equations on the same coordinate plane. c. Under what conditions would the cost of renting a car from either rental agency be the same? d. Under what conditions would the cost of renting a car from Car Rental Agency A be the best deal? Under what conditions would it be cheaper for you to rent a car from Car Rental Agency B?

Write an equation in slope-intercept form of the line that passes through the point and has the given slope. $$ (3,1), m=7 $$

Exercises \(57-59\), you are going on a trip to the Natural History Museum. At 9:00 A.M., you leave for the museum, which is 120 miles away. At 10: 15 A.M., you are 63 miles away from the museum. According to your equation, when will you reach the museum?

Write an equation in standard form of the horizontal line and the vertical line that pass through the point. $$(-9,0)$$

Write an equation in standard form of the horizontal line and the vertical line that pass through the point. $$(-3,7)$$

Find the value of \(k\) so that the line through the given points has slope \(m .\) $$ (k+1,3+2 k),(k-1,1-k) ; m=k $$

Check whether the given number is a solution of the inequality. $$ 12 a \leq a-9 ;-2 $$