The population of Nevada, P(t), in millions of people, is afunction of t, the number of years since 2010. Explain the meaningof the statement P(8) = 3. Use units and everyday language. (1point)
2. Find the slope-intercept form of the equation of the linethrough the points (8, 25) and (-2, -13). (2 points)
3. At 8am, Charles leaves his house in Spartanburg, SC and drivesat an average speed of 65 miles per hour toward Orlando, FL. At11:45am, he stops for lunch in Savannah, GA, which is 276.25 milesfrom Orlando. a. Find a linear formula that represents Charles’distance, D, in miles from Orlando as a function of t, time inhours since 8am. (2 points)
b. Find and interpret the horizontal intercept. Remember to writeyour intercept as a point! (2 points)
c. Find and interpret the vertical intercept. Remember to writeyour intercept as a point! (2 points)
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4. The temperature in ?F of freshly prepared soup is given by T(t)= 72 + 118e?0.018t, where t represents time in minutes since 6pmwhen the soup was removed from the stove. a. Determine the value ofT(30) and interpret your answer in everyday language. (2points)
b. Find and interpret the vertical intercept. Remember to writeyour intercept as a point! (2 points)
5. Decide whether the following function is linear. Explain how youknow without ?nding the equation of the line.
x 9 12 16 23 34 f(x) 26.6 36.2 49 74.9 110.1
6. Attendance at a local fair can be modeled by A(t) = ?30t2 + 309t+ 20 people, where t represents the number of hours since 10am. a.Find the average rate of change of the attendance from t = 3 to t =8. Give units. (2 points)
b. Interpret your answer from (a) in everyday language.
