Solve the problem. A ball is kicked upward with an initial velocity of 52 feet per second

1. Solve the problem. A ball is kicked upward with an initial velocity of 52 feet per second.  The ball's height, h (in feet), from the ground is modeled by , where t is measured in seconds.  How much time does the ball take to reach its highest point? What is its height at this point? a. 1.625 sec; 84.5 ft c. 3.25 sec; 42.25 ft b. 1.625 sec; 42.25 ft d. 3.25 sec; 126.75 ft  2. Make a scatter plot of the data below. x y 25 150 50 178 75 216 100 265 125 323 150 392 175 470.
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1. Solve the problem. A ball is kicked upward with an initial velocity of 52 feet per second.  The ball's height, h (in feet), from the ground is modeled by , where t is measured in seconds.  How much time does the ball take to reach its highest point? What is its height at this point? a. 1.625 sec; 84.5 ft c. 3.25 sec; 42.25 ft b. 1.625 sec; 42.25 ft d. 3.25 sec; 126.75 ft  2. Make a scatter plot of the data below. x y 25 150 50 178 75 216 100 265 125 323 150 392 175 470.4 Use the quadratic regression feature of a graphing calculator to find a quadratic model. Round to the nearest thousdandths place. a. b. c. d. 3. What is the value of c in the given quadratic regression equation? a. 1 c. 1.23 b. -0.19 d. 0  4. The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set. x 0 1 2 3 4 5 y 1.30 1.34 1.38 2.20 2.88 2.24 a. c. b. d.  5. Solve the problem. A ball is kicked upward with an initial velocity of 68 feet per second.  The ball's height, h (in feet), from the ground is modeled by , where t is measured in seconds.  How much time does the ball take to reach its highest point? What is its height at this point? a. 4.25 sec; 72.25 ft c. 2.125 sec; 144.5 ft b. 4.25 sec; 216.75 ft d. 2.125 sec; 72.25 ft  6. The Air Quality Index, or AQI, measures how polluted the air is in your city and assigns a number based on the quality of the air. Over 100 is "Unhealthy". The following quadratic regression equation, models the AQI over time, where n represents the number of days the AQI exceeded 100, and t represents the number of years since 1990. Estimate the number of days the AQI exceeded 100 in the year 2002.