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Problem 51

Write the point-slope form of the equation of the line that passes through the two points. $$ (1,3),(2,5) $$

Problem 51

Find the slope and the \(y\) -intercept of the graph of the equation. Then graph the equation. $$ -2 y-3 x=6 $$

Problem 51

Write an equation in slope-intercept form of the line that passes through the point and has the given slope. $$ (8,4), m=-5 $$

Problem 51

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?

Problem 52

Find the slope and the \(y\) -intercept of the graph of the equation. Then graph the equation. $$ 4 x+2 y=6 $$

Problem 52

Use a calculator to evaluate $$.5^{7}$$

Problem 52

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

Problem 52

Write the point-slope form of the equation of the line that passes through the two points. $$ (-2,3),(2,-5) $$

Problem 53

Find the slope and the \(y\) -intercept of the graph of the equation. Then graph the equation. $$ 4 y+12 x=16 $$

Problem 53

Use the following information. At sea level, the speed of sound in air is linearly related to the air temperature. If it is \(35^{\circ} \mathrm{C},\) sound will travel at a rate of 352 meters per second. If it is \(15^{\circ} \mathrm{C}\) sound will travel at a rate of 340 meters per second. Write a linear equation that models speed of sound \(s\) in terms of air temperature \(T\).

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